65502874800 has 480 divisors, whose sum is σ = 256763208960. Its totient is φ = 15728025600.

The previous prime is 65502874769. The next prime is 65502874831. The reversal of 65502874800 is 847820556.

65502874800 is a `hidden beast` number, since 6 + 550 + 28 + 74 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (65502874769) and next prime (65502874831).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12709024 + ... + 12714176.

It is an arithmetic number, because the mean of its divisors is an integer number (534923352).

Almost surely, 2^65502874800 is an apocalyptic number.

65502874800 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 65502874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381604480).

65502874800 is an abundant number, since it is smaller than the sum of its proper divisors (191260334160).

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

65502874800 is a wasteful number, since it uses less digits than its factorization.

65502874800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5281 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 65502874800 in words is "sixty-five billion, five hundred two million, eight hundred seventy-four thousand, eight hundred".