46754970867360 has 3456 divisors, whose sum is σ = 207622655944704. Its totient is φ = 9722692362240.

The previous prime is 46754970867317. The next prime is 46754970867457. The reversal of 46754970867360 is 6376807945764.

46754970867360 is a `hidden beast` number, since 4 + 6 + 7 + 5 + 497 + 0 + 8 + 6 + 73 + 60 = 666.

46754970867360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 356908174495 + ... + 356908174625.

It is an arithmetic number, because the mean of its divisors is an integer number (60075999984).

Almost surely, 2^{46754970867360} is an apocalyptic number.

46754970867360 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 46754970867360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103811327972352).

46754970867360 is an abundant number, since it is smaller than the sum of its proper divisors (160867685077344).

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

46754970867360 is a wasteful number, since it uses less digits than its factorization.

46754970867360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 46754970867360 in words is "forty-six trillion, seven hundred fifty-four billion, nine hundred seventy million, eight hundred sixty-seven thousand, three hundred sixty".