64427950080 has 384 divisors, whose sum is σ = 240598907640. Its totient is φ = 15854469120.

The previous prime is 64427950073. The next prime is 64427950133. The reversal of 64427950080 is 8005972446.

It is a happy number.

64427950080 is a `hidden beast` number, since 6 + 44 + 27 + 9 + 500 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48076701696 + 16351248384 = 219264^2 + 127872^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19167600 + ... + 19170960.

Almost surely, 2^64427950080 is an apocalyptic number.

64427950080 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 64427950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120299453820).

64427950080 is an abundant number, since it is smaller than the sum of its proper divisors (176170957560).

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

64427950080 is a wasteful number, since it uses less digits than its factorization.

64427950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 64427950080 in words is "sixty-four billion, four hundred twenty-seven million, nine hundred fifty thousand, eighty".