7642657400701 has 16 divisors (see below), whose sum is σ = 8007653828160. Its totient is φ = 7284562548480.

The previous prime is 7642657400687. The next prime is 7642657400723. The reversal of 7642657400701 is 1070047562467.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7642657400701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7642657400771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1877701 + ... + 4337173.

It is an arithmetic number, because the mean of its divisors is an integer number (500478364260).

Almost surely, 2^{7642657400701} is an apocalyptic number.

It is an amenable number.

7642657400701 is a deficient number, since it is larger than the sum of its proper divisors (364996427459).

7642657400701 is a wasteful number, since it uses less digits than its factorization.

7642657400701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460876.

The product of its (nonzero) digits is 1975680, while the sum is 49.

The spelling of 7642657400701 in words is "seven trillion, six hundred forty-two billion, six hundred fifty-seven million, four hundred thousand, seven hundred one".