64975680 has 336 divisors, whose sum is σ = 279586944. Its totient is φ = 13455360.

The previous prime is 64975679. The next prime is 64975681. The reversal of 64975680 is 8657946.

It is an interprime number because it is at equal distance from previous prime (64975679) and next prime (64975681).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64975681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221614 + ... + 221906.

It is an arithmetic number, because the mean of its divisors is an integer number (832104).

Almost surely, 2^64975680 is an apocalyptic number.

64975680 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 64975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139793472).

64975680 is an abundant number, since it is smaller than the sum of its proper divisors (214611264).

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

64975680 is a wasteful number, since it uses less digits than its factorization.

64975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 64975680 is about 8060.7493448190. The cubic root of 64975680 is about 402.0224239366.

The spelling of 64975680 in words is "sixty-four million, nine hundred seventy-five thousand, six hundred eighty".