60331227264 has 720 divisors, whose sum is σ = 225190900350. Its totient is φ = 15455784960.

The previous prime is 60331227247. The next prime is 60331227277. The reversal of 60331227264 is 46272213306.

60331227264 is a `hidden beast` number, since 60 + 3 + 312 + 27 + 264 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50000537664 + 10330689600 = 223608^2 + 101640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 826455132 + ... + 826455204.

Almost surely, 2^60331227264 is an apocalyptic number.

60331227264 is a gapful number since it is divisible by the number (64) 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 60331227264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112595450175).

60331227264 is an abundant number, since it is smaller than the sum of its proper divisors (164859673086).

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

60331227264 is an equidigital number, since it uses as much as digits as its factorization.

60331227264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 60331227264 in words is "sixty billion, three hundred thirty-one million, two hundred twenty-seven thousand, two hundred sixty-four".