45708072960 has 384 divisors, whose sum is σ = 166487892480. Its totient is φ = 10597171200.

The previous prime is 45708072911. The next prime is 45708072967. The reversal of 45708072960 is 6927080754.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45708072967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7769220 + ... + 7775100.

It is an arithmetic number, because the mean of its divisors is an integer number (433562220).

Almost surely, 2^45708072960 is an apocalyptic number.

45708072960 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 45708072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83243946240).

45708072960 is an abundant number, since it is smaller than the sum of its proper divisors (120779819520).

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

45708072960 is a wasteful number, since it uses less digits than its factorization.

45708072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5945 (or 5925 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 45708072960 in words is "forty-five billion, seven hundred eight million, seventy-two thousand, nine hundred sixty".