670232102400 has 1680 divisors, whose sum is σ = 2946018966528. Its totient is φ = 147806208000.

The previous prime is 670232102389. The next prime is 670232102411. The reversal of 670232102400 is 4201232076.

It is an interprime number because it is at equal distance from previous prime (670232102389) and next prime (670232102411).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×670232102400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2024870235 + ... + 2024870565.

Almost surely, 2^670232102400 is an apocalyptic number.

670232102400 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 670232102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473009483264).

670232102400 is an abundant number, since it is smaller than the sum of its proper divisors (2275786864128).

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

670232102400 is an equidigital number, since it uses as much as digits as its factorization.

670232102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 670232102400 its reverse (4201232076), we get a palindrome (674433334476).

The spelling of 670232102400 in words is "six hundred seventy billion, two hundred thirty-two million, one hundred two thousand, four hundred".