5673680640 has 864 divisors, whose sum is σ = 22900812480. Its totient is φ = 1337720832.

The previous prime is 5673680633. The next prime is 5673680647. The reversal of 5673680640 is 460863765.

5673680640 is a `hidden beast` number, since 567 + 3 + 6 + 80 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5673680633) and next prime (5673680647).

It is a tau number, because it is divible by the number of its divisors (864).

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 (5673680647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153342702 + ... + 153342738.

It is an arithmetic number, because the mean of its divisors is an integer number (26505570).

Almost surely, 2^5673680640 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 5673680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450406240).

5673680640 is an abundant number, since it is smaller than the sum of its proper divisors (17227131840).

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

5673680640 is a wasteful number, since it uses less digits than its factorization.

5673680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5673680640 is about 75323.8384576888. The cubic root of 5673680640 is about 1783.5623478173.

The spelling of 5673680640 in words is "five billion, six hundred seventy-three million, six hundred eighty thousand, six hundred forty".