46976193600 has 672 divisors, whose sum is σ = 186133800960. Its totient is φ = 10140303360.

The previous prime is 46976193599. The next prime is 46976193647. The reversal of 46976193600 is 639167964.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68778859 + ... + 68779541.

Almost surely, 2^46976193600 is an apocalyptic number.

46976193600 is a gapful number since it is divisible by the number (40) 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 46976193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93066900480).

46976193600 is an abundant number, since it is smaller than the sum of its proper divisors (139157607360).

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

46976193600 is a wasteful number, since it uses less digits than its factorization.

46976193600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 46976193600 in words is "forty-six billion, nine hundred seventy-six million, one hundred ninety-three thousand, six hundred".