45572607674880 has 960 divisors, whose sum is σ = 172707068540160. Its totient is φ = 10183275970560.

The previous prime is 45572607674849. The next prime is 45572607674947. The reversal of 45572607674880 is 8847670627554.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9773235429 + ... + 9773240091.

It is an arithmetic number, because the mean of its divisors is an integer number (179903196396).

Almost surely, 2^{45572607674880} is an apocalyptic number.

45572607674880 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 45572607674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86353534270080).

45572607674880 is an abundant number, since it is smaller than the sum of its proper divisors (127134460865280).

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

45572607674880 is a wasteful number, since it uses less digits than its factorization.

45572607674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5506 counting only the distinct ones).

The product of its (nonzero) digits is 632217600, while the sum is 69.

The spelling of 45572607674880 in words is "forty-five trillion, five hundred seventy-two billion, six hundred seven million, six hundred seventy-four thousand, eight hundred eighty".