749507653440 has 2688 divisors, whose sum is σ = 3586578186240. Its totient is φ = 145616486400.

The previous prime is 749507653421. The next prime is 749507653441. The reversal of 749507653440 is 44356705947.

749507653440 is a `hidden beast` number, since 7 + 4 + 9 + 507 + 65 + 34 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749507653441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3924123745 + ... + 3924123935.

It is an arithmetic number, because the mean of its divisors is an integer number (1334292480).

Almost surely, 2^749507653440 is an apocalyptic number.

749507653440 is a gapful number since it is divisible by the number (70) 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 749507653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793289093120).

749507653440 is an abundant number, since it is smaller than the sum of its proper divisors (2837070532800).

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

749507653440 is a wasteful number, since it uses less digits than its factorization.

749507653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 749507653440 in words is "seven hundred forty-nine billion, five hundred seven million, six hundred fifty-three thousand, four hundred forty".