7642226649600 has 180 divisors, whose sum is σ = 27349420018206. Its totient is φ = 2037927075840.

The previous prime is 7642226649587. The next prime is 7642226649601. The reversal of 7642226649600 is 69466222467.

7642226649600 is a `hidden beast` number, since 7 + 6 + 4 + 2 + 2 + 26 + 6 + 4 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4547948638464 + 3094278011136 = 2132592^2 + 1759056^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (7642226649601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33054187 + ... + 33284586.

Almost surely, 2^{7642226649600} is an apocalyptic number.

It is an amenable number.

7642226649600 is an abundant number, since it is smaller than the sum of its proper divisors (19707193368606).

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

7642226649600 is a wasteful number, since it uses less digits than its factorization.

7642226649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66338807 (or 66338783 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 7642226649600 in words is "seven trillion, six hundred forty-two billion, two hundred twenty-six million, six hundred forty-nine thousand, six hundred".