617264675280 has 320 divisors, whose sum is σ = 2320328989440. Its totient is φ = 149581209600.

The previous prime is 617264675273. The next prime is 617264675309. The reversal of 617264675280 is 82576462716.

It is a happy number.

617264675280 is a `hidden beast` number, since 6 + 1 + 72 + 6 + 46 + 7 + 528 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120722004 + ... + 120727116.

It is an arithmetic number, because the mean of its divisors is an integer number (7251028092).

Almost surely, 2^617264675280 is an apocalyptic number.

617264675280 is a gapful number since it is divisible by the number (60) 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 617264675280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160164494720).

617264675280 is an abundant number, since it is smaller than the sum of its proper divisors (1703064314160).

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

617264675280 is a wasteful number, since it uses less digits than its factorization.

617264675280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10227 (or 10215 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 617264675280 in words is "six hundred seventeen billion, two hundred sixty-four million, six hundred seventy-five thousand, two hundred eighty".