64274853760 has 512 divisors, whose sum is σ = 183094732800. Its totient is φ = 21366374400.

The previous prime is 64274853707. The next prime is 64274853781. The reversal of 64274853760 is 6735847246.

It is a super-2 number, since 2×64274853760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 64274853698 and 64274853707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304620055 + ... + 304620265.

It is an arithmetic number, because the mean of its divisors is an integer number (357606900).

Almost surely, 2^64274853760 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 64274853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91547366400).

64274853760 is an abundant number, since it is smaller than the sum of its proper divisors (118819879040).

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

64274853760 is a wasteful number, since it uses less digits than its factorization.

64274853760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 64274853760 in words is "sixty-four billion, two hundred seventy-four million, eight hundred fifty-three thousand, seven hundred sixty".