7836416409600 has 765 divisors, whose sum is σ = 29151244604053. Its totient is φ = 2089711042560.

The previous prime is 7836416409593. The next prime is 7836416409623. The reversal of 7836416409600 is 69046146387.

The square root of 7836416409600 is 2799360.

It is a perfect power (a square), and thus also a powerful number.

7836416409600 is a `hidden beast` number, since 78 + 36 + 416 + 40 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2821109907456 + 5015306502144 = 1679616^2 + 2239488^2 .

It is a super-2 number, since 2×7836416409600² (a number of 27 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1567283281918 + ... + 1567283281922.

Almost surely, 2^{7836416409600} is an apocalyptic number.

7836416409600 is the 2799360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7836416409600

7836416409600 is an abundant number, since it is smaller than the sum of its proper divisors (21314828194453).

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

7836416409600 is an frugal number, since it uses more digits than its factorization.

7836416409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 7836416409600 in words is "seven trillion, eight hundred thirty-six billion, four hundred sixteen million, four hundred nine thousand, six hundred".