64147680 has 192 divisors, whose sum is σ = 232243200. Its totient is φ = 16519680.

The previous prime is 64147663. The next prime is 64147697. The reversal of 64147680 is 8674146.

64147680 is a `hidden beast` number, since 641 + 4 + 7 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64147663) and next prime (64147697).

It is a super-2 number, since 2×64147680² = 8229849698764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133681 + ... + 134159.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^64147680 is an apocalyptic number.

64147680 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 64147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

64147680 is an abundant number, since it is smaller than the sum of its proper divisors (168095520).

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

64147680 is a wasteful number, since it uses less digits than its factorization.

64147680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 64147680 is about 8009.2246815781. The cubic root of 64147680 is about 400.3074303226.

The spelling of 64147680 in words is "sixty-four million, one hundred forty-seven thousand, six hundred eighty".