5670755580672 has 1728 divisors, whose sum is σ = 21727648051200. Its totient is φ = 1410589458432.

The previous prime is 5670755580613. The next prime is 5670755580689. The reversal of 5670755580672 is 2760855570765.

5670755580672 is a `hidden beast` number, since 5 + 6 + 7 + 0 + 7 + 5 + 558 + 0 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24338006668 + ... + 24338006900.

It is an arithmetic number, because the mean of its divisors is an integer number (12573870400).

Almost surely, 2^{5670755580672} is an apocalyptic number.

5670755580672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5670755580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10863824025600).

5670755580672 is an abundant number, since it is smaller than the sum of its proper divisors (16056892470528).

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

5670755580672 is a wasteful number, since it uses less digits than its factorization.

5670755580672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 123480000, while the sum is 63.

The spelling of 5670755580672 in words is "five trillion, six hundred seventy billion, seven hundred fifty-five million, five hundred eighty thousand, six hundred seventy-two".