5700470640480 has 3456 divisors, whose sum is σ = 27240045880320. Its totient is φ = 1100058624000.

The previous prime is 5700470640419. The next prime is 5700470640559. The reversal of 5700470640480 is 840460740075.

5700470640480 is a `hidden beast` number, since 5 + 70 + 0 + 47 + 0 + 64 + 0 + 480 = 666.

It is a super-2 number, since 2×5700470640480² (a number of 26 digits) contains 22 as substring.

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 575 ways as a sum of consecutive naturals, for example, 80288318845 + ... + 80288318915.

It is an arithmetic number, because the mean of its divisors is an integer number (7881957720).

Almost surely, 2^{5700470640480} 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 5700470640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13620022940160).

5700470640480 is an abundant number, since it is smaller than the sum of its proper divisors (21539575239840).

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

5700470640480 is a wasteful number, since it uses less digits than its factorization.

5700470640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 5700470640480 in words is "five trillion, seven hundred billion, four hundred seventy million, six hundred forty thousand, four hundred eighty".