670409748529920 has 1728 divisors, whose sum is σ = 2777024839680000. Its totient is φ = 146101370388480.

The previous prime is 670409748529883. The next prime is 670409748529921. The reversal of 670409748529920 is 29925847904076.

670409748529920 is a `hidden beast` number, since 6 + 7 + 0 + 4 + 0 + 9 + 7 + 4 + 8 + 529 + 92 + 0 = 666.

It is a super-2 number, since 2×670409748529920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (670409748529921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98546189239 + ... + 98546196041.

It is an arithmetic number, because the mean of its divisors is an integer number (1607074560000).

Almost surely, 2^{670409748529920} is an apocalyptic number.

670409748529920 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 670409748529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388512419840000).

670409748529920 is an abundant number, since it is smaller than the sum of its proper divisors (2106615091150080).

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

670409748529920 is a wasteful number, since it uses less digits than its factorization.

670409748529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7446 (or 7429 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 670409748529920 in words is "six hundred seventy trillion, four hundred nine billion, seven hundred forty-eight million, five hundred twenty-nine thousand, nine hundred twenty".