7532442772920 has 256 divisors, whose sum is σ = 27046760832000. Its totient is φ = 1853644497408.

The previous prime is 7532442772889. The next prime is 7532442772937. The reversal of 7532442772920 is 292772442357.

It is a happy number.

7532442772920 is a `hidden beast` number, since 7 + 5 + 324 + 4 + 27 + 7 + 292 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53942151 + ... + 54081609.

It is an arithmetic number, because the mean of its divisors is an integer number (105651409500).

Almost surely, 2^{7532442772920} 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 7532442772920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13523380416000).

7532442772920 is an abundant number, since it is smaller than the sum of its proper divisors (19514318059080).

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

7532442772920 is a wasteful number, since it uses less digits than its factorization.

7532442772920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143339 (or 143329 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 7532442772920 in words is "seven trillion, five hundred thirty-two billion, four hundred forty-two million, seven hundred seventy-two thousand, nine hundred twenty".