5913680640 has 432 divisors, whose sum is σ = 22422663648. Its totient is φ = 1323958272.

The previous prime is 5913680573. The next prime is 5913680681. The reversal of 5913680640 is 460863195.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5913680592 and 5913680601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9972184 + ... + 9972776.

It is an arithmetic number, because the mean of its divisors is an integer number (51904314).

Almost surely, 2^5913680640 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 5913680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11211331824).

5913680640 is an abundant number, since it is smaller than the sum of its proper divisors (16508983008).

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

5913680640 is a wasteful number, since it uses less digits than its factorization.

5913680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 5913680640 is about 76900.4592964177. The cubic root of 5913680640 is about 1808.3644291103.

The spelling of 5913680640 in words is "five billion, nine hundred thirteen million, six hundred eighty thousand, six hundred forty".