18820670400 has 1008 divisors, whose sum is σ = 83330856960. Its totient is φ = 3931545600.

The previous prime is 18820670377. The next prime is 18820670461. The reversal of 18820670400 is 407602881.

18820670400 is a `hidden beast` number, since 188 + 2 + 0 + 6 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59371042 + ... + 59371358.

Almost surely, 2^18820670400 is an apocalyptic number.

18820670400 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 18820670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41665428480).

18820670400 is an abundant number, since it is smaller than the sum of its proper divisors (64510186560).

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

18820670400 is a wasteful number, since it uses less digits than its factorization.

18820670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 18820670400 in words is "eighteen billion, eight hundred twenty million, six hundred seventy thousand, four hundred".