162604764900 has 144 divisors (see below), whose sum is σ = 527630604480. Its totient is φ = 42955948800.

The previous prime is 162604764893. The next prime is 162604764929. The reversal of 162604764900 is 9467406261.

162604764900 is a `hidden beast` number, since 1 + 62 + 60 + 47 + 6 + 490 + 0 = 666.

162604764900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 7480 + ... + 570320.

It is an arithmetic number, because the mean of its divisors is an integer number (3664101420).

Almost surely, 2^162604764900 is an apocalyptic number.

162604764900 is a gapful number since it is divisible by the number (10) 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 162604764900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263815302240).

162604764900 is an abundant number, since it is smaller than the sum of its proper divisors (365025839580).

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

162604764900 is a wasteful number, since it uses less digits than its factorization.

162604764900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562971 (or 562958 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 162604764900 in words is "one hundred sixty-two billion, six hundred four million, seven hundred sixty-four thousand, nine hundred".