64167607952 has 80 divisors (see below), whose sum is σ = 144971078400. Its totient is φ = 26943361536.

The previous prime is 64167607927. The next prime is 64167607961. The reversal of 64167607952 is 25970676146.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a junction number, because it is equal to n+sod(n) for n = 64167607894 and 64167607903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4403174 + ... + 4417722.

It is an arithmetic number, because the mean of its divisors is an integer number (1812138480).

Almost surely, 2^64167607952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64167607952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72485539200).

64167607952 is an abundant number, since it is smaller than the sum of its proper divisors (80803470448).

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

64167607952 is a wasteful number, since it uses less digits than its factorization.

64167607952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15360 (or 15354 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 53.

The spelling of 64167607952 in words is "sixty-four billion, one hundred sixty-seven million, six hundred seven thousand, nine hundred fifty-two".