742525009920 has 768 divisors, whose sum is σ = 2870747568000. Its totient is φ = 176437592064.

The previous prime is 742525009843. The next prime is 742525010009. The reversal of 742525009920 is 29900525247.

742525009920 is a `hidden beast` number, since 7 + 4 + 2 + 52 + 500 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 476282101 + ... + 476283659.

Almost surely, 2^742525009920 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 742525009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435373784000).

742525009920 is an abundant number, since it is smaller than the sum of its proper divisors (2128222558080).

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

742525009920 is a wasteful number, since it uses less digits than its factorization.

742525009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 742525009920 in words is "seven hundred forty-two billion, five hundred twenty-five million, nine thousand, nine hundred twenty".