749985372864 has 1008 divisors, whose sum is σ = 2858078815200. Its totient is φ = 191147765760.

The previous prime is 749985372853. The next prime is 749985372887. The reversal of 749985372864 is 468273589947.

749985372864 is a `hidden beast` number, since 7 + 4 + 9 + 9 + 8 + 537 + 2 + 86 + 4 = 666.

749985372864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 749985372792 and 749985372801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1057806942 + ... + 1057807650.

It is an arithmetic number, because the mean of its divisors is an integer number (2835395650).

Almost surely, 2^749985372864 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 749985372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429039407600).

749985372864 is an abundant number, since it is smaller than the sum of its proper divisors (2108093442336).

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

749985372864 is a wasteful number, since it uses less digits than its factorization.

749985372864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 765 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 749985372864 in words is "seven hundred forty-nine billion, nine hundred eighty-five million, three hundred seventy-two thousand, eight hundred sixty-four".