18767956480 has 480 divisors, whose sum is σ = 59776705296. Its totient is φ = 5582094336.

The previous prime is 18767956457. The next prime is 18767956489. The reversal of 18767956480 is 8465976781.

It can be written as a sum of positive squares in 8 ways, for example, as 13645977856 + 5121978624 = 116816^2 + 71568^2 .

It is not an unprimeable number, because it can be changed into a prime (18767956489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27721902 + ... + 27722578.

Almost surely, 2^18767956480 is an apocalyptic number.

18767956480 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 18767956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29888352648).

18767956480 is an abundant number, since it is smaller than the sum of its proper divisors (41008748816).

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

18767956480 is a wasteful number, since it uses less digits than its factorization.

18767956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 18767956480 in words is "eighteen billion, seven hundred sixty-seven million, nine hundred fifty-six thousand, four hundred eighty".