749268757440 has 896 divisors, whose sum is σ = 3199083264000. Its totient is φ = 161267023872.

The previous prime is 749268757423. The next prime is 749268757487. The reversal of 749268757440 is 44757862947.

749268757440 is a `hidden beast` number, since 7 + 49 + 26 + 87 + 57 + 440 = 666.

It is a super-2 number, since 2×749268757440² (a number of 25 digits) contains 22 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 198795876 + ... + 198799644.

Almost surely, 2^749268757440 is an apocalyptic number.

749268757440 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 749268757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599541632000).

749268757440 is an abundant number, since it is smaller than the sum of its proper divisors (2449814506560).

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

749268757440 is a wasteful number, since it uses less digits than its factorization.

749268757440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 749268757440 in words is "seven hundred forty-nine billion, two hundred sixty-eight million, seven hundred fifty-seven thousand, four hundred forty".