749623492864 has 81 divisors (see below), whose sum is σ = 1526579064759. Its totient is φ = 367379650560.

The previous prime is 749623492823. The next prime is 749623492873. The reversal of 749623492864 is 468294326947.

The square root of 749623492864 is 865808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 70331040000 + 679292452864 = 265200^2 + 824192^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 749623492796 and 749623492805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 734204674 + ... + 734205694.

Almost surely, 2^749623492864 is an apocalyptic number.

749623492864 is the 865808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749623492864

749623492864 is an abundant number, since it is smaller than the sum of its proper divisors (776955571895).

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

749623492864 is an frugal number, since it uses more digits than its factorization.

749623492864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 1076 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 64.

Multiplying 749623492864 by its sum of digits (64), we get a square (47975903543296 = 6926464²).

749623492864 divided by its sum of digits (64) gives a square (11712867076 = 108226²).

The spelling of 749623492864 in words is "seven hundred forty-nine billion, six hundred twenty-three million, four hundred ninety-two thousand, eight hundred sixty-four".