670758248160 has 1152 divisors, whose sum is σ = 3208526899200. Its totient is φ = 128651120640.

The previous prime is 670758248131. The next prime is 670758248207. The reversal of 670758248160 is 61842857076.

670758248160 is a `hidden beast` number, since 6 + 7 + 0 + 7 + 582 + 48 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 670758248097 and 670758248106.

It is a congruent number.

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, 30259161 + ... + 30281319.

It is an arithmetic number, because the mean of its divisors is an integer number (2785179600).

Almost surely, 2^670758248160 is an apocalyptic number.

670758248160 is a gapful number since it is divisible by the number (60) 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 670758248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604263449600).

670758248160 is an abundant number, since it is smaller than the sum of its proper divisors (2537768651040).

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

670758248160 is a wasteful number, since it uses less digits than its factorization.

670758248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22221 (or 22200 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 670758248160 in words is "six hundred seventy billion, seven hundred fifty-eight million, two hundred forty-eight thousand, one hundred sixty".