64759680 has 96 divisors (see below), whose sum is σ = 223643160. Its totient is φ = 17267712.

The previous prime is 64759649. The next prime is 64759691. The reversal of 64759680 is 8695746.

64759680 = 370² + 371² + ... + 625².

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 139 + ... + 11381.

Almost surely, 2^64759680 is an apocalyptic number.

64759680 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 64759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111821580).

64759680 is an abundant number, since it is smaller than the sum of its proper divisors (158883480).

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

64759680 is a wasteful number, since it uses less digits than its factorization.

64759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11268 (or 11253 counting only the distinct ones).

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

The square root of 64759680 is about 8047.3399331705. The cubic root of 64759680 is about 401.5764455532.

The spelling of 64759680 in words is "sixty-four million, seven hundred fifty-nine thousand, six hundred eighty".