46677012480 has 832 divisors, whose sum is σ = 196269465600. Its totient is φ = 10298327040.

The previous prime is 46677012467. The next prime is 46677012509. The reversal of 46677012480 is 8421077664.

46677012480 is a `hidden beast` number, since 46 + 67 + 70 + 1 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119992126 + ... + 119992514.

It is an arithmetic number, because the mean of its divisors is an integer number (235900800).

Almost surely, 2^46677012480 is an apocalyptic number.

46677012480 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 46677012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98134732800).

46677012480 is an abundant number, since it is smaller than the sum of its proper divisors (149592453120).

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

46677012480 is a wasteful number, since it uses less digits than its factorization.

46677012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 46677012480 in words is "forty-six billion, six hundred seventy-seven million, twelve thousand, four hundred eighty".