54716464000 has 128 divisors (see below), whose sum is σ = 148406450400. Its totient is φ = 19896832000.

The previous prime is 54716463983. The next prime is 54716464003. The reversal of 54716464000 is 46461745.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54716464003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20556 + ... + 331444.

Almost surely, 2^54716464000 is an apocalyptic number.

54716464000 is a gapful number since it is divisible by the number (50) 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 54716464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74203225200).

54716464000 is an abundant number, since it is smaller than the sum of its proper divisors (93689986400).

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

54716464000 is a wasteful number, since it uses less digits than its factorization.

54716464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310929 (or 310907 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 54716464000 in words is "fifty-four billion, seven hundred sixteen million, four hundred sixty-four thousand".