18729934401960 has 192 divisors, whose sum is σ = 62241305817600. Its totient is φ = 4883547082752.

The previous prime is 18729934401923. The next prime is 18729934401979. The reversal of 18729934401960 is 6910443992781.

18729934401960 is a `hidden beast` number, since 1 + 87 + 2 + 9 + 93 + 4 + 401 + 9 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267657 + ... + 6126296.

It is an arithmetic number, because the mean of its divisors is an integer number (324173467800).

Almost surely, 2^{18729934401960} is an apocalyptic number.

18729934401960 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 18729934401960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31120652908800).

18729934401960 is an abundant number, since it is smaller than the sum of its proper divisors (43511371415640).

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

18729934401960 is a wasteful number, since it uses less digits than its factorization.

18729934401960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394152 (or 6394145 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 18729934401960 in words is "eighteen trillion, seven hundred twenty-nine billion, nine hundred thirty-four million, four hundred one thousand, nine hundred sixty".