670416714240 has 640 divisors, whose sum is σ = 2691802713600. Its totient is φ = 141443334144.

The previous prime is 670416714217. The next prime is 670416714271. The reversal of 670416714240 is 42417614076.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 670416714192 and 670416714201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34235332 + ... + 34254908.

It is an arithmetic number, because the mean of its divisors is an integer number (4205941740).

Almost surely, 2^670416714240 is an apocalyptic number.

670416714240 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 670416714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345901356800).

670416714240 is an abundant number, since it is smaller than the sum of its proper divisors (2021385999360).

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

670416714240 is a wasteful number, since it uses less digits than its factorization.

670416714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19637 (or 19607 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 670416714240 in words is "six hundred seventy billion, four hundred sixteen million, seven hundred fourteen thousand, two hundred forty".