46684753920 has 624 divisors, whose sum is σ = 193179165120. Its totient is φ = 10664607744.

The previous prime is 46684753903. The next prime is 46684753961. The reversal of 46684753920 is 2935748664.

46684753920 is a `hidden beast` number, since 4 + 6 + 6 + 84 + 7 + 539 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27094179 + ... + 27095901.

Almost surely, 2^46684753920 is an apocalyptic number.

46684753920 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 46684753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96589582560).

46684753920 is an abundant number, since it is smaller than the sum of its proper divisors (146494411200).

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

46684753920 is a wasteful number, since it uses less digits than its factorization.

46684753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 46684753920 in words is "forty-six billion, six hundred eighty-four million, seven hundred fifty-three thousand, nine hundred twenty".