16976294400 has 480 divisors, whose sum is σ = 62399006208. Its totient is φ = 4040294400.

The previous prime is 16976294393. The next prime is 16976294407. The reversal of 16976294400 is 449267961.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16976294393) and next prime (16976294407).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-4 number, since 4×16976294400⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16976294400.

It is not an unprimeable number, because it can be changed into a prime (16976294407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15474652 + ... + 15475748.

Almost surely, 2^16976294400 is an apocalyptic number.

16976294400 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 16976294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31199503104).

16976294400 is an abundant number, since it is smaller than the sum of its proper divisors (45422711808).

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

16976294400 is a wasteful number, since it uses less digits than its factorization.

16976294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 16976294400 in words is "sixteen billion, nine hundred seventy-six million, two hundred ninety-four thousand, four hundred".