65428624800 has 2016 divisors, whose sum is σ = 314763853824. Its totient is φ = 12877056000.

The previous prime is 65428624787. The next prime is 65428624823. The reversal of 65428624800 is 842682456.

65428624800 is a `hidden beast` number, since 6 + 542 + 8 + 6 + 24 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1392098377 + ... + 1392098423.

It is an arithmetic number, because the mean of its divisors is an integer number (156132864).

Almost surely, 2^65428624800 is an apocalyptic number.

65428624800 is a gapful number since it is divisible by the number (60) 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 65428624800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157381926912).

65428624800 is an abundant number, since it is smaller than the sum of its proper divisors (249335229024).

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

65428624800 is a wasteful number, since it uses less digits than its factorization.

65428624800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 65428624800 in words is "sixty-five billion, four hundred twenty-eight million, six hundred twenty-four thousand, eight hundred".