749051184960 has 224 divisors, whose sum is σ = 2845754714880. Its totient is φ = 184381802496.

The previous prime is 749051184949. The next prime is 749051184971. The reversal of 749051184960 is 69481150947.

749051184960 is a `hidden beast` number, since 7 + 4 + 90 + 51 + 18 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (749051184949) and next prime (749051184971).

It is a super-2 number, since 2×749051184960² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 749051184897 and 749051184906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3222132 + ... + 3446771.

It is an arithmetic number, because the mean of its divisors is an integer number (12704262120).

Almost surely, 2^749051184960 is an apocalyptic number.

It is an amenable number.

749051184960 is an abundant number, since it is smaller than the sum of its proper divisors (2096703529920).

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

749051184960 is a wasteful number, since it uses less digits than its factorization.

749051184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668942 (or 6668926 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 749051184960 in words is "seven hundred forty-nine billion, fifty-one million, one hundred eighty-four thousand, nine hundred sixty".