5674658715264 has 768 divisors, whose sum is σ = 20604354600960. Its totient is φ = 1364338483200.

The previous prime is 5674658715223. The next prime is 5674658715283. The reversal of 5674658715264 is 4625178564765.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 5674658715195 and 5674658715204.

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, 147554662 + ... + 147593114.

It is an arithmetic number, because the mean of its divisors is an integer number (26828586720).

Almost surely, 2^{5674658715264} 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 5674658715264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10302177300480).

5674658715264 is an abundant number, since it is smaller than the sum of its proper divisors (14929695885696).

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

5674658715264 is a wasteful number, since it uses less digits than its factorization.

5674658715264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38549 (or 38530 counting only the distinct ones).

The product of its digits is 338688000, while the sum is 66.

The spelling of 5674658715264 in words is "five trillion, six hundred seventy-four billion, six hundred fifty-eight million, seven hundred fifteen thousand, two hundred sixty-four".