7642700756082 has 240 divisors, whose sum is σ = 20121521607000. Its totient is φ = 2161715060736.

The previous prime is 7642700756081. The next prime is 7642700756101. The reversal of 7642700756082 is 2806570072467.

7642700756082 is a `hidden beast` number, since 7 + 6 + 4 + 2 + 70 + 0 + 7 + 560 + 8 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4310984316681 + 3331716439401 = 2076291^2 + 1825299^2 .

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 (7642700756081) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1219122844 + ... + 1219129112.

Almost surely, 2^{7642700756082} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7642700756082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10060760803500).

7642700756082 is an abundant number, since it is smaller than the sum of its proper divisors (12478820850918).

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

7642700756082 is a wasteful number, since it uses less digits than its factorization.

7642700756082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7815 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 7642700756082 in words is "seven trillion, six hundred forty-two billion, seven hundred million, seven hundred fifty-six thousand, eighty-two".