54623600640 has 864 divisors, whose sum is σ = 229008124800. Its totient is φ = 12485394432.

The previous prime is 54623600597. The next prime is 54623600641. The reversal of 54623600640 is 4600632645.

54623600640 is a `hidden beast` number, since 5 + 4 + 6 + 2 + 3 + 6 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54623600595 and 54623600604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54623600641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7803371517 + ... + 7803371523.

It is an arithmetic number, because the mean of its divisors is an integer number (265055700).

Almost surely, 2^54623600640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54623600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114504062400).

54623600640 is an abundant number, since it is smaller than the sum of its proper divisors (174384524160).

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

54623600640 is an frugal number, since it uses more digits than its factorization.

54623600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 54623600640 in words is "fifty-four billion, six hundred twenty-three million, six hundred thousand, six hundred forty".