18964946880 has 896 divisors, whose sum is σ = 77669867520. Its totient is φ = 4313088000.

The previous prime is 18964946879. The next prime is 18964946939. The reversal of 18964946880 is 8864946981.

18964946880 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 494 + 68 + 80 = 666.

It is a super-2 number, since 2×18964946880² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 120795762 + ... + 120795918.

It is an arithmetic number, because the mean of its divisors is an integer number (86685120).

Almost surely, 2^18964946880 is an apocalyptic number.

18964946880 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 18964946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38834933760).

18964946880 is an abundant number, since it is smaller than the sum of its proper divisors (58704920640).

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

18964946880 is a wasteful number, since it uses less digits than its factorization.

18964946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 18964946880 in words is "eighteen billion, nine hundred sixty-four million, nine hundred forty-six thousand, eight hundred eighty".