7642116979200 has 2400 divisors, whose sum is σ = 32225725635840. Its totient is φ = 1772391628800.

The previous prime is 7642116979183. The next prime is 7642116979201. The reversal of 7642116979200 is 29796112467.

7642116979200 is a `hidden beast` number, since 7 + 6 + 421 + 1 + 6 + 9 + 7 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7642116979201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 28409356666 + ... + 28409356934.

Almost surely, 2^{7642116979200} 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 7642116979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112862817920).

7642116979200 is an abundant number, since it is smaller than the sum of its proper divisors (24583608656640).

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

7642116979200 is a wasteful number, since it uses less digits than its factorization.

7642116979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 7642116979200 in words is "seven trillion, six hundred forty-two billion, one hundred sixteen million, nine hundred seventy-nine thousand, two hundred".