54946304640 has 896 divisors, whose sum is σ = 211912588800. Its totient is φ = 13586227200.

The previous prime is 54946304563. The next prime is 54946304663. The reversal of 54946304640 is 4640364945.

54946304640 is a `hidden beast` number, since 5 + 4 + 9 + 4 + 630 + 4 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 419437375 + ... + 419437505.

Almost surely, 2^54946304640 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 54946304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105956294400).

54946304640 is an abundant number, since it is smaller than the sum of its proper divisors (156966284160).

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

54946304640 is a wasteful number, since it uses less digits than its factorization.

54946304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 54946304640 in words is "fifty-four billion, nine hundred forty-six million, three hundred four thousand, six hundred forty".