18674576400 has 120 divisors (see below), whose sum is σ = 59957635680. Its totient is φ = 4968504320.

The previous prime is 18674576387. The next prime is 18674576423. The reversal of 18674576400 is 467547681.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18674576400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514036 + ... + 549164.

It is an arithmetic number, because the mean of its divisors is an integer number (499646964).

Almost surely, 2^18674576400 is an apocalyptic number.

18674576400 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 18674576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29978817840).

18674576400 is an abundant number, since it is smaller than the sum of its proper divisors (41283059280).

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

18674576400 is a wasteful number, since it uses less digits than its factorization.

18674576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35593 (or 35582 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 18674576400 in words is "eighteen billion, six hundred seventy-four million, five hundred seventy-six thousand, four hundred".