46879156636200 has 960 divisors, whose sum is σ = 191998376317440. Its totient is φ = 10379021598720.

The previous prime is 46879156636181. The next prime is 46879156636211. The reversal of 46879156636200 is 263665197864.

46879156636200 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 9 + 1 + 566 + 3 + 62 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 516945262 + ... + 517035938.

It is an arithmetic number, because the mean of its divisors is an integer number (199998308664).

It is a 1-persistent number, because it is pandigital, but 2⋅46879156636200 = 93758313272400 is not.

Almost surely, 2^{46879156636200} is an apocalyptic number.

46879156636200 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 46879156636200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95999188158720).

46879156636200 is an abundant number, since it is smaller than the sum of its proper divisors (145119219681240).

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

46879156636200 is a wasteful number, since it uses less digits than its factorization.

46879156636200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90856 (or 90838 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 46879156636200 in words is "forty-six trillion, eight hundred seventy-nine billion, one hundred fifty-six million, six hundred thirty-six thousand, two hundred".