45072632640 has 224 divisors, whose sum is σ = 170660689920. Its totient is φ = 9854355456.

The previous prime is 45072632629. The next prime is 45072632641. The reversal of 45072632640 is 4623627054.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45072632641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8751 + ... + 300369.

It is an arithmetic number, because the mean of its divisors is an integer number (761878080).

Almost surely, 2^45072632640 is an apocalyptic number.

45072632640 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 45072632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85330344960).

45072632640 is an abundant number, since it is smaller than the sum of its proper divisors (125588057280).

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

45072632640 is a wasteful number, since it uses less digits than its factorization.

45072632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291669 (or 291659 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 45072632640 in words is "forty-five billion, seventy-two million, six hundred thirty-two thousand, six hundred forty".