65459966400 has 672 divisors, whose sum is σ = 246953836800. Its totient is φ = 16856985600.

The previous prime is 65459966393. The next prime is 65459966401. The reversal of 65459966400 is 466995456.

65459966400 is a `hidden beast` number, since 6 + 5 + 4 + 599 + 6 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65459966401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243345466 + ... + 243345734.

Almost surely, 2^65459966400 is an apocalyptic number.

65459966400 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 65459966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123476918400).

65459966400 is an abundant number, since it is smaller than the sum of its proper divisors (181493870400).

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

65459966400 is a wasteful number, since it uses less digits than its factorization.

65459966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 65459966400 in words is "sixty-five billion, four hundred fifty-nine million, nine hundred sixty-six thousand, four hundred".