745944494976 has 384 divisors, whose sum is σ = 2263028826240. Its totient is φ = 244544624640.

The previous prime is 745944494957. The next prime is 745944495013. The reversal of 745944494976 is 679494449547.

745944494976 is a `hidden beast` number, since 7 + 4 + 5 + 9 + 44 + 494 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 730601346 + ... + 730602366.

It is an arithmetic number, because the mean of its divisors is an integer number (5893304235).

Almost surely, 2^745944494976 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 745944494976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131514413120).

745944494976 is an abundant number, since it is smaller than the sum of its proper divisors (1517084331264).

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

745944494976 is a wasteful number, since it uses less digits than its factorization.

745944494976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1392 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 745944494976 in words is "seven hundred forty-five billion, nine hundred forty-four million, four hundred ninety-four thousand, nine hundred seventy-six".