18761621760 has 648 divisors, whose sum is σ = 78371669376. Its totient is φ = 4284887040.

The previous prime is 18761621737. The next prime is 18761621779. The reversal of 18761621760 is 6712616781.

18761621760 is a `hidden beast` number, since 1 + 8 + 7 + 616 + 21 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15240345 + ... + 15241575.

Almost surely, 2^18761621760 is an apocalyptic number.

18761621760 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 18761621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39185834688).

18761621760 is an abundant number, since it is smaller than the sum of its proper divisors (59610047616).

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

18761621760 is an equidigital number, since it uses as much as digits as its factorization.

18761621760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 18761621760 in words is "eighteen billion, seven hundred sixty-one million, six hundred twenty-one thousand, seven hundred sixty".