7935494634001 has 45 divisors (see below), whose sum is σ = 9031679635545. Its totient is φ = 6972077475000.

The previous prime is 7935494633977. The next prime is 7935494634031. The reversal of 7935494634001 is 1004364945397.

The square root of 7935494634001 is 2817001.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 7935494634001 - 2⁹ = 7935494633489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7935494634031) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10566570376 + ... + 10566571126.

It is an arithmetic number, because the mean of its divisors is an integer number (200703991901).

Almost surely, 2^{7935494634001} is an apocalyptic number.

7935494634001 is the 2817001-st square number.

7935494634001 is the 1408501-st centered octagonal number.

It is an amenable number.

7935494634001 is a deficient number, since it is larger than the sum of its proper divisors (1096185001544).

7935494634001 is an frugal number, since it uses more digits than its factorization.

7935494634001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 7935494634001 in words is "seven trillion, nine hundred thirty-five billion, four hundred ninety-four million, six hundred thirty-four thousand, one".