16877964480 has 896 divisors, whose sum is σ = 66363494400. Its totient is φ = 3588489216.

The previous prime is 16877964479. The next prime is 16877964491. The reversal of 16877964480 is 8446977861.

16877964480 = 8143² + 8144² + ... + 8389².

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 213645081 + ... + 213645159.

It is an arithmetic number, because the mean of its divisors is an integer number (74066400).

Almost surely, 2^16877964480 is an apocalyptic number.

16877964480 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 16877964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33181747200).

16877964480 is an abundant number, since it is smaller than the sum of its proper divisors (49485529920).

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

16877964480 is a wasteful number, since it uses less digits than its factorization.

16877964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 16877964480 in words is "sixteen billion, eight hundred seventy-seven million, nine hundred sixty-four thousand, four hundred eighty".