16477372800 has 864 divisors, whose sum is σ = 70509943920. Its totient is φ = 3586498560.

The previous prime is 16477372777. The next prime is 16477372819. The reversal of 16477372800 is 827377461.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 350582377 + ... + 350582423.

Almost surely, 2^16477372800 is an apocalyptic number.

16477372800 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 16477372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35254971960).

16477372800 is an abundant number, since it is smaller than the sum of its proper divisors (54032571120).

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

16477372800 is a wasteful number, since it uses less digits than its factorization.

16477372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 16477372800 in words is "sixteen billion, four hundred seventy-seven million, three hundred seventy-two thousand, eight hundred".