90724628610 has 256 divisors, whose sum is σ = 314745937920. Its totient is φ = 18032129280.

The previous prime is 90724628557. The next prime is 90724628629. The reversal of 90724628610 is 1682642709.

It is a happy number.

90724628610 is a `hidden beast` number, since 9 + 0 + 7 + 2 + 4 + 6 + 28 + 610 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 383304 + ... + 573036.

It is an arithmetic number, because the mean of its divisors is an integer number (1229476320).

Almost surely, 2^90724628610 is an apocalyptic number.

90724628610 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90724628610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157372968960).

90724628610 is an abundant number, since it is smaller than the sum of its proper divisors (224021309310).

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

90724628610 is a wasteful number, since it uses less digits than its factorization.

90724628610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189790 (or 189784 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 90724628610 in words is "ninety billion, seven hundred twenty-four million, six hundred twenty-eight thousand, six hundred ten".