745925392800 has 1440 divisors, whose sum is σ = 3317222059200. Its totient is φ = 161310320640.

The previous prime is 745925392799. The next prime is 745925392813. The reversal of 745925392800 is 8293529547.

745925392800 is a `hidden beast` number, since 7 + 459 + 25 + 3 + 92 + 80 + 0 = 666.

745925392800 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 (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 985370022 + ... + 985370778.

It is an arithmetic number, because the mean of its divisors is an integer number (2303626430).

Almost surely, 2^745925392800 is an apocalyptic number.

745925392800 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 745925392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658611029600).

745925392800 is an abundant number, since it is smaller than the sum of its proper divisors (2571296666400).

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

745925392800 is a wasteful number, since it uses less digits than its factorization.

745925392800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 745925392800 in words is "seven hundred forty-five billion, nine hundred twenty-five million, three hundred ninety-two thousand, eight hundred".