670699534417920 has 3072 divisors, whose sum is σ = 2955796316928000. Its totient is φ = 140896402145280.

The previous prime is 670699534417903. The next prime is 670699534417933. The reversal of 670699534417920 is 29714435996076.

670699534417920 is a `hidden beast` number, since 6 + 7 + 0 + 6 + 9 + 95 + 3 + 441 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9187664855004 + ... + 9187664855076.

It is an arithmetic number, because the mean of its divisors is an integer number (962173280250).

Almost surely, 2^{670699534417920} is an apocalyptic number.

670699534417920 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 670699534417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477898158464000).

670699534417920 is an abundant number, since it is smaller than the sum of its proper divisors (2285096782510080).

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

670699534417920 is an frugal number, since it uses more digits than its factorization.

670699534417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 670699534417920 in words is "six hundred seventy trillion, six hundred ninety-nine billion, five hundred thirty-four million, four hundred seventeen thousand, nine hundred twenty".