749085696000 has 336 divisors, whose sum is σ = 2700572016168. Its totient is φ = 199753728000.

The previous prime is 749085695999. The next prime is 749085696019. The reversal of 749085696000 is 696580947.

749085696000 is a `hidden beast` number, since 74 + 9 + 0 + 8 + 569 + 6 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 443108560896 + 305977135104 = 665664^2 + 553152^2 .

It is a super-2 number, since 2×749085696000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9175360 + ... + 9256640.

Almost surely, 2^749085696000 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 749085696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350286008084).

749085696000 is an abundant number, since it is smaller than the sum of its proper divisors (1951486320168).

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

749085696000 is an equidigital number, since it uses as much as digits as its factorization.

749085696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81328 (or 81291 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 749085696000 in words is "seven hundred forty-nine billion, eighty-five million, six hundred ninety-six thousand".