64027901952 has 960 divisors, whose sum is σ = 241584537600. Its totient is φ = 16349921280.

The previous prime is 64027901947. The next prime is 64027901953. The reversal of 64027901952 is 25910972046.

It is a junction number, because it is equal to n+sod(n) for n = 64027901898 and 64027901907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64027901953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2065416177 + ... + 2065416207.

It is an arithmetic number, because the mean of its divisors is an integer number (251650560).

Almost surely, 2^64027901952 is an apocalyptic number.

64027901952 is a gapful number since it is divisible by the number (62) 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 64027901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120792268800).

64027901952 is an abundant number, since it is smaller than the sum of its proper divisors (177556635648).

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

64027901952 is a wasteful number, since it uses less digits than its factorization.

64027901952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 64027901952 in words is "sixty-four billion, twenty-seven million, nine hundred one thousand, nine hundred fifty-two".