7670503987200 has 864 divisors, whose sum is σ = 27813507321600. Its totient is φ = 2020144250880.

The previous prime is 7670503987199. The next prime is 7670503987207. The reversal of 7670503987200 is 27893050767.

7670503987200 is a `hidden beast` number, since 7 + 67 + 0 + 503 + 9 + 8 + 72 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7670503987207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20238796611 + ... + 20238796989.

It is an arithmetic number, because the mean of its divisors is an integer number (32191559400).

Almost surely, 2^{7670503987200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7670503987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13906753660800).

7670503987200 is an abundant number, since it is smaller than the sum of its proper divisors (20143003334400).

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

7670503987200 is a wasteful number, since it uses less digits than its factorization.

7670503987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 7670503987200 in words is "seven trillion, six hundred seventy billion, five hundred three million, nine hundred eighty-seven thousand, two hundred".