6398866760832 has 1400 divisors, whose sum is σ = 24155042002815. Its totient is φ = 1687613211648.

The previous prime is 6398866760809. The next prime is 6398866760873. The reversal of 6398866760832 is 2380676688936.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6398866760832 is a `hidden beast` number, since 6 + 3 + 9 + 8 + 8 + 6 + 6 + 7 + 608 + 3 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 112021056 + 6398754739776 = 10584^2 + 2529576^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1788696.

It is a super-2 number, since 2×6398866760832² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 6398866760832 = 1092³ + 18564³ = 8190³ + 18018³.

It is an unprimeable number.

It is a polite number, since it can be written in 174 ways as a sum of consecutive naturals, for example, 492220520058 + ... + 492220520070.

Almost surely, 2^{6398866760832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6398866760832

6398866760832 is an abundant number, since it is smaller than the sum of its proper divisors (17756175241983).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6398866760832 is an frugal number, since it uses more digits than its factorization.

6398866760832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

Multiplying 6398866760832 by its sum of digits (72), we get a square (460718406779904 = 21464352²).

6398866760832 divided by its sum of digits (72) gives a 4-th power (88873149456 = 546⁴).

The spelling of 6398866760832 in words is "six trillion, three hundred ninety-eight billion, eight hundred sixty-six million, seven hundred sixty thousand, eight hundred thirty-two".