10164644400 has 60 divisors (see below), whose sum is σ = 32560748072. Its totient is φ = 2710571520.

The previous prime is 10164644383. The next prime is 10164644407. The reversal of 10164644400 is 444646101.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10164644407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4234069 + ... + 4236468.

Almost surely, 2^10164644400 is an apocalyptic number.

10164644400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10164644400 is an abundant number, since it is smaller than the sum of its proper divisors (22396103672).

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

10164644400 is a wasteful number, since it uses less digits than its factorization.

10164644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8470558 (or 8470547 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 10164644400 in words is "ten billion, one hundred sixty-four million, six hundred forty-four thousand, four hundred".