54382604640 has 768 divisors, whose sum is σ = 217640908800. Its totient is φ = 11176648704.

The previous prime is 54382604629. The next prime is 54382604671. The reversal of 54382604640 is 4640628345.

It is a super-3 number, since 3×54382604640³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 54382604592 and 54382604601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 391241691 + ... + 391241829.

It is an arithmetic number, because the mean of its divisors is an integer number (283386600).

Almost surely, 2^54382604640 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 54382604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108820454400).

54382604640 is an abundant number, since it is smaller than the sum of its proper divisors (163258304160).

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

54382604640 is a wasteful number, since it uses less digits than its factorization.

54382604640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 54382604640 in words is "fifty-four billion, three hundred eighty-two million, six hundred four thousand, six hundred forty".