670880102400 has 720 divisors, whose sum is σ = 2516024511000. Its totient is φ = 176655237120.

The previous prime is 670880102371. The next prime is 670880102401. The reversal of 670880102400 is 4201088076.

670880102400 is a `hidden beast` number, since 6 + 70 + 8 + 80 + 102 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×670880102400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670880102401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 344216626 + ... + 344218574.

Almost surely, 2^670880102400 is an apocalyptic number.

670880102400 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 670880102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258012255500).

670880102400 is an abundant number, since it is smaller than the sum of its proper divisors (1845144408600).

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

670880102400 is a wasteful number, since it uses less digits than its factorization.

670880102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 670880102400 in words is "six hundred seventy billion, eight hundred eighty million, one hundred two thousand, four hundred".