18770962022400 has 1728 divisors, whose sum is σ = 76453481664000. Its totient is φ = 4050816860160.

The previous prime is 18770962022399. The next prime is 18770962022431. The reversal of 18770962022400 is 422026907781.

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 18770962022400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64064716654 + ... + 64064716946.

It is an arithmetic number, because the mean of its divisors is an integer number (44243913000).

Almost surely, 2^{18770962022400} is an apocalyptic number.

18770962022400 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 18770962022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38226740832000).

18770962022400 is an abundant number, since it is smaller than the sum of its proper divisors (57682519641600).

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

18770962022400 is an frugal number, since it uses more digits than its factorization.

18770962022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 18770962022400 in words is "eighteen trillion, seven hundred seventy billion, nine hundred sixty-two million, twenty-two thousand, four hundred".