46620648360 has 768 divisors, whose sum is σ = 195556757760. Its totient is φ = 9813934080.

The previous prime is 46620648323. The next prime is 46620648407. The reversal of 46620648360 is 6384602664.

46620648360 is a `hidden beast` number, since 46 + 6 + 206 + 48 + 360 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23628334 + ... + 23630306.

It is an arithmetic number, because the mean of its divisors is an integer number (254631195).

Almost surely, 2^46620648360 is an apocalyptic number.

46620648360 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 46620648360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97778378880).

46620648360 is an abundant number, since it is smaller than the sum of its proper divisors (148936109400).

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

46620648360 is a wasteful number, since it uses less digits than its factorization.

46620648360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 46620648360 in words is "forty-six billion, six hundred twenty million, six hundred forty-eight thousand, three hundred sixty".