45745015680 has 640 divisors, whose sum is σ = 201083762880. Its totient is φ = 9650700288.

The previous prime is 45745015669. The next prime is 45745015681. The reversal of 45745015680 is 8651054754.

45745015680 is a `hidden beast` number, since 4 + 574 + 5 + 0 + 15 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45745015681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4712592 + ... + 4722288.

Almost surely, 2^45745015680 is an apocalyptic number.

45745015680 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 45745015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100541881440).

45745015680 is an abundant number, since it is smaller than the sum of its proper divisors (155338747200).

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

45745015680 is a wasteful number, since it uses less digits than its factorization.

45745015680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9748 (or 9727 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 45745015680 in words is "forty-five billion, seven hundred forty-five million, fifteen thousand, six hundred eighty".