670342982400 has 2592 divisors, whose sum is σ = 3188435927040. Its totient is φ = 130427781120.

The previous prime is 670342982383. The next prime is 670342982401. The reversal of 670342982400 is 4289243076.

670342982400 is a `hidden beast` number, since 67 + 0 + 342 + 9 + 8 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (670342982401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5278291137 + ... + 5278291263.

Almost surely, 2^670342982400 is an apocalyptic number.

670342982400 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 670342982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594217963520).

670342982400 is an abundant number, since it is smaller than the sum of its proper divisors (2518092944640).

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

670342982400 is a wasteful number, since it uses less digits than its factorization.

670342982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 670342982400 in words is "six hundred seventy billion, three hundred forty-two million, nine hundred eighty-two thousand, four hundred".