45620937640080 has 1280 divisors, whose sum is σ = 178931176243200. Its totient is φ = 10672018790400.

The previous prime is 45620937640073. The next prime is 45620937640123. The reversal of 45620937640080 is 8004673902654.

45620937640080 is a `hidden beast` number, since 4 + 5 + 6 + 2 + 0 + 93 + 76 + 400 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45620937639999 and 45620937640026.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49641933861 + ... + 49641934779.

It is an arithmetic number, because the mean of its divisors is an integer number (139789981440).

Almost surely, 2^{45620937640080} is an apocalyptic number.

45620937640080 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 45620937640080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89465588121600).

45620937640080 is an abundant number, since it is smaller than the sum of its proper divisors (133310238603120).

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

45620937640080 is a wasteful number, since it uses less digits than its factorization.

45620937640080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1528 counting only the distinct ones).

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

The spelling of 45620937640080 in words is "forty-five trillion, six hundred twenty billion, nine hundred thirty-seven million, six hundred forty thousand, eighty".