45537670080 has 672 divisors, whose sum is σ = 188454913920. Its totient is φ = 9873653760.

The previous prime is 45537670051. The next prime is 45537670099. The reversal of 45537670080 is 8007673554.

45537670080 is a `hidden beast` number, since 45 + 537 + 6 + 70 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30581976 + ... + 30583464.

It is an arithmetic number, because the mean of its divisors is an integer number (280438860).

Almost surely, 2^45537670080 is an apocalyptic number.

45537670080 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 45537670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94227456960).

45537670080 is an abundant number, since it is smaller than the sum of its proper divisors (142917243840).

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

45537670080 is a wasteful number, since it uses less digits than its factorization.

45537670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 45537670080 in words is "forty-five billion, five hundred thirty-seven million, six hundred seventy thousand, eighty".