46878597366600 has 192 divisors, whose sum is σ = 146327801832000. Its totient is φ = 12414764646400.

The previous prime is 46878597366599. The next prime is 46878597366631. The reversal of 46878597366600 is 666379587864.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81444616 + ... + 82018184.

It is an arithmetic number, because the mean of its divisors is an integer number (762123967875).

Almost surely, 2^{46878597366600} is an apocalyptic number.

46878597366600 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 46878597366600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73163900916000).

46878597366600 is an abundant number, since it is smaller than the sum of its proper divisors (99449204465400).

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

46878597366600 is a wasteful number, since it uses less digits than its factorization.

46878597366600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574528 (or 574519 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 75.

The spelling of 46878597366600 in words is "forty-six trillion, eight hundred seventy-eight billion, five hundred ninety-seven million, three hundred sixty-six thousand, six hundred".