18734960640 has 416 divisors, whose sum is σ = 68883033600. Its totient is φ = 4299816960.

The previous prime is 18734960623. The next prime is 18734960663. The reversal of 18734960640 is 4606943781.

It is a super-3 number, since 3×18734960640³ (a number of 32 digits) contains 333 as substring.

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 18734960640.

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 31 ways as a sum of consecutive naturals, for example, 12840231 + ... + 12841689.

Almost surely, 2^18734960640 is an apocalyptic number.

18734960640 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 18734960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34441516800).

18734960640 is an abundant number, since it is smaller than the sum of its proper divisors (50148072960).

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

18734960640 is a wasteful number, since it uses less digits than its factorization.

18734960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 18734960640 in words is "eighteen billion, seven hundred thirty-four million, nine hundred sixty thousand, six hundred forty".