46876700767864 has 128 divisors (see below), whose sum is σ = 102152831040000. Its totient is φ = 19942643750400.

The previous prime is 46876700767859. The next prime is 46876700767913.

46876700767864 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46876700767864² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72179662 + ... + 72826210.

It is an arithmetic number, because the mean of its divisors is an integer number (798068992500).

Almost surely, 2^{46876700767864} is an apocalyptic number.

46876700767864 is a gapful number since it is divisible by the number (44) 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 46876700767864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51076415520000).

46876700767864 is an abundant number, since it is smaller than the sum of its proper divisors (55276130272136).

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

46876700767864 is a wasteful number, since it uses less digits than its factorization.

46876700767864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647109 (or 647105 counting only the distinct ones).

The product of its (nonzero) digits is 3186376704, while the sum is 76.

The spelling of 46876700767864 in words is "forty-six trillion, eight hundred seventy-six billion, seven hundred million, seven hundred sixty-seven thousand, eight hundred sixty-four".