64275807960 has 1536 divisors, whose sum is σ = 293116723200. Its totient is φ = 12182814720.

The previous prime is 64275807923. The next prime is 64275807983. The reversal of 64275807960 is 6970857246.

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

It is a junction number, because it is equal to n+sod(n) for n = 64275807897 and 64275807906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 880490484 + ... + 880490556.

It is an arithmetic number, because the mean of its divisors is an integer number (190831200).

Almost surely, 2^64275807960 is an apocalyptic number.

64275807960 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 64275807960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146558361600).

64275807960 is an abundant number, since it is smaller than the sum of its proper divisors (228840915240).

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

64275807960 is a wasteful number, since it uses less digits than its factorization.

64275807960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 64275807960 in words is "sixty-four billion, two hundred seventy-five million, eight hundred seven thousand, nine hundred sixty".