5745072690864 has 960 divisors, whose sum is σ = 19288035486720. Its totient is φ = 1641634283520.

The previous prime is 5745072690839. The next prime is 5745072690871. The reversal of 5745072690864 is 4680962705475.

5745072690864 is a `hidden beast` number, since 5 + 7 + 4 + 507 + 2 + 69 + 0 + 8 + 64 = 666.

It is a super-2 number, since 2×5745072690864² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14046632292 + ... + 14046632700.

It is an arithmetic number, because the mean of its divisors is an integer number (20091703632).

Almost surely, 2^{5745072690864} is an apocalyptic number.

5745072690864 is a gapful number since it is divisible by the number (54) 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 5745072690864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9644017743360).

5745072690864 is an abundant number, since it is smaller than the sum of its proper divisors (13542962795856).

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

5745072690864 is a wasteful number, since it uses less digits than its factorization.

5745072690864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 5745072690864 in words is "five trillion, seven hundred forty-five billion, seventy-two million, six hundred ninety thousand, eight hundred sixty-four".