5096407680 has 768 divisors, whose sum is σ = 22660646400. Its totient is φ = 1072963584.

The previous prime is 5096407661. The next prime is 5096407691. The reversal of 5096407680 is 867046905.

5096407680 is a `hidden beast` number, since 509 + 64 + 0 + 7 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11007129 + ... + 11007591.

It is an arithmetic number, because the mean of its divisors is an integer number (29506050).

Almost surely, 2^5096407680 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 5096407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11330323200).

5096407680 is an abundant number, since it is smaller than the sum of its proper divisors (17564238720).

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

5096407680 is a wasteful number, since it uses less digits than its factorization.

5096407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5096407680 is about 71389.1285841199. The cubic root of 5096407680 is about 1720.8963779131.

The spelling of 5096407680 in words is "five billion, ninety-six million, four hundred seven thousand, six hundred eighty".