46975062879360 has 4608 divisors, whose sum is σ = 223078045075200. Its totient is φ = 9299017728000.

The previous prime is 46975062879337. The next prime is 46975062879377. The reversal of 46975062879360 is 6397826057964.

46975062879360 is a `hidden beast` number, since 4 + 6 + 9 + 7 + 506 + 2 + 87 + 9 + 36 + 0 = 666.

It is a super-3 number, since 3×46975062879360³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 222630629655 + ... + 222630629865.

Almost surely, 2^{46975062879360} is an apocalyptic number.

46975062879360 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 46975062879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111539022537600).

46975062879360 is an abundant number, since it is smaller than the sum of its proper divisors (176102982195840).

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

46975062879360 is a wasteful number, since it uses less digits than its factorization.

46975062879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 46975062879360 in words is "forty-six trillion, nine hundred seventy-five billion, sixty-two million, eight hundred seventy-nine thousand, three hundred sixty".