16672701600 has 216 divisors, whose sum is σ = 58905222012. Its totient is φ = 4437504000.

The previous prime is 16672701599. The next prime is 16672701611. The reversal of 16672701600 is 610727661.

It can be written as a sum of positive squares in 6 ways, for example, as 14196245904 + 2476455696 = 119148^2 + 49764^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4325274 + ... + 4329126.

Almost surely, 2^16672701600 is an apocalyptic number.

16672701600 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 16672701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29452611006).

16672701600 is an abundant number, since it is smaller than the sum of its proper divisors (42232520412).

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

16672701600 is a wasteful number, since it uses less digits than its factorization.

16672701600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 16672701600 in words is "sixteen billion, six hundred seventy-two million, seven hundred one thousand, six hundred".