46379340564480 has 1536 divisors, whose sum is σ = 205944560640000. Its totient is φ = 9618531287040.

The previous prime is 46379340564457. The next prime is 46379340564497. The reversal of 46379340564480 is 8446504397364.

46379340564480 is a `hidden beast` number, since 4 + 6 + 3 + 7 + 93 + 4 + 0 + 5 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12752085222 + ... + 12752088858.

It is an arithmetic number, because the mean of its divisors is an integer number (134078490000).

Almost surely, 2^{46379340564480} is an apocalyptic number.

46379340564480 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 46379340564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102972280320000).

46379340564480 is an abundant number, since it is smaller than the sum of its proper divisors (159565220075520).

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

46379340564480 is a wasteful number, since it uses less digits than its factorization.

46379340564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 46379340564480 in words is "forty-six trillion, three hundred seventy-nine billion, three hundred forty million, five hundred sixty-four thousand, four hundred eighty".