5276417760 has 480 divisors, whose sum is σ = 19594159200. Its totient is φ = 1335398400.

The previous prime is 5276417759. The next prime is 5276417761. The reversal of 5276417760 is 677146725.

5276417760 is a `hidden beast` number, since 527 + 64 + 1 + 7 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5276417759) and next prime (5276417761).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5276417761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37959771 + ... + 37959909.

It is an arithmetic number, because the mean of its divisors is an integer number (40821165).

Almost surely, 2^5276417760 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 5276417760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797079600).

5276417760 is an abundant number, since it is smaller than the sum of its proper divisors (14317741440).

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

5276417760 is a wasteful number, since it uses less digits than its factorization.

5276417760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 5276417760 is about 72638.9548382960. The cubic root of 5276417760 is about 1740.9236475427.

The spelling of 5276417760 in words is "five billion, two hundred seventy-six million, four hundred seventeen thousand, seven hundred sixty".