45824600640 has 448 divisors, whose sum is σ = 183921099264. Its totient is φ = 9406513152.

The previous prime is 45824600579. The next prime is 45824600651. The reversal of 45824600640 is 4600642854.

45824600640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3225232 + ... + 3239408.

It is an arithmetic number, because the mean of its divisors is an integer number (410538168).

Almost surely, 2^45824600640 is an apocalyptic number.

45824600640 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 45824600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91960549632).

45824600640 is an abundant number, since it is smaller than the sum of its proper divisors (138096498624).

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

45824600640 is a wasteful number, since it uses less digits than its factorization.

45824600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14254 (or 14244 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 45824600640 in words is "forty-five billion, eight hundred twenty-four million, six hundred thousand, six hundred forty".