18770681400 has 384 divisors, whose sum is σ = 63831628800. Its totient is φ = 4546713600.

The previous prime is 18770681399. The next prime is 18770681441. The reversal of 18770681400 is 418607781.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28397070 + ... + 28397730.

It is an arithmetic number, because the mean of its divisors is an integer number (166228200).

Almost surely, 2^18770681400 is an apocalyptic number.

18770681400 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 18770681400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31915814400).

18770681400 is an abundant number, since it is smaller than the sum of its proper divisors (45060947400).

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

18770681400 is a wasteful number, since it uses less digits than its factorization.

18770681400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 18770681400 in words is "eighteen billion, seven hundred seventy million, six hundred eighty-one thousand, four hundred".