6401752815780 has 480 divisors, whose sum is σ = 24058109940480. Its totient is φ = 1394364948480.

The previous prime is 6401752815761. The next prime is 6401752815863. The reversal of 6401752815780 is 875182571046.

6401752815780 is a `hidden beast` number, since 6 + 4 + 0 + 17 + 52 + 8 + 1 + 578 + 0 = 666.

It is a super-2 number, since 2×6401752815780² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19832316 + ... + 20152524.

It is an arithmetic number, because the mean of its divisors is an integer number (50121062376).

Almost surely, 2^{6401752815780} is an apocalyptic number.

6401752815780 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6401752815780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12029054970240).

6401752815780 is an abundant number, since it is smaller than the sum of its proper divisors (17656357124700).

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

6401752815780 is a wasteful number, since it uses less digits than its factorization.

6401752815780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320321 (or 320310 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 6401752815780 in words is "six trillion, four hundred one billion, seven hundred fifty-two million, eight hundred fifteen thousand, seven hundred eighty".