64273768272 has 240 divisors, whose sum is σ = 222459095040. Its totient is φ = 17565330816.

The previous prime is 64273768231. The next prime is 64273768289. The reversal of 64273768272 is 27286737246.

It is a happy number.

64273768272 is a `hidden beast` number, since 6 + 427 + 3 + 76 + 82 + 72 = 666.

It is a super-2 number, since 2×64273768272² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574629 + ... + 677307.

It is an arithmetic number, because the mean of its divisors is an integer number (926912896).

Almost surely, 2^64273768272 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 64273768272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111229547520).

64273768272 is an abundant number, since it is smaller than the sum of its proper divisors (158185326768).

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

64273768272 is a wasteful number, since it uses less digits than its factorization.

64273768272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102732 (or 102714 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 64273768272 in words is "sixty-four billion, two hundred seventy-three million, seven hundred sixty-eight thousand, two hundred seventy-two".