64681264800 has 144 divisors (see below), whose sum is σ = 233930652480. Its totient is φ = 17248331520.

The previous prime is 64681264771. The next prime is 64681264807. The reversal of 64681264800 is 846218646.

64681264800 is a `hidden beast` number, since 6 + 46 + 8 + 126 + 480 + 0 = 666.

64681264800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×64681264800² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (64681264807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1475652 + ... + 1518851.

It is an arithmetic number, because the mean of its divisors is an integer number (1624518420).

Almost surely, 2^64681264800 is an apocalyptic number.

64681264800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64681264800 is an abundant number, since it is smaller than the sum of its proper divisors (169249387680).

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

64681264800 is a wasteful number, since it uses less digits than its factorization.

64681264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994532 (or 2994513 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 64681264800 in words is "sixty-four billion, six hundred eighty-one million, two hundred sixty-four thousand, eight hundred".