264648106425360 has 640 divisors, whose sum is σ = 1001440269434880. Its totient is φ = 56435908902912.

The previous prime is 264648106425349. The next prime is 264648106425401. The reversal of 264648106425360 is 63524601846462.

It is a super-2 number, since 2×264648106425360² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 264648106425360.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4305360706 + ... + 4305422174.

It is an arithmetic number, because the mean of its divisors is an integer number (1564750420992).

Almost surely, 2^{264648106425360} is an apocalyptic number.

264648106425360 is a gapful number since it is divisible by the number (20) 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 264648106425360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500720134717440).

264648106425360 is an abundant number, since it is smaller than the sum of its proper divisors (736792163009520).

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

264648106425360 is a wasteful number, since it uses less digits than its factorization.

264648106425360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62823 (or 62817 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 57.

The spelling of 264648106425360 in words is "two hundred sixty-four trillion, six hundred forty-eight billion, one hundred six million, four hundred twenty-five thousand, three hundred sixty".