7740631275601 has 27 divisors (see below), whose sum is σ = 9047681370441. Its totient is φ = 6603093045864.

The previous prime is 7740631275557. The next prime is 7740631275709. The reversal of 7740631275601 is 1065721360477.

The square root of 7740631275601 is 2782199.

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

It is not a de Polignac number, because 7740631275601 - 2⁷ = 7740631275473 is a prime.

It is a super-2 number, since 2×7740631275601² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (7740631275101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4654618096 + ... + 4654619758.

Almost surely, 2^{7740631275601} is an apocalyptic number.

7740631275601 is the 2782199-th square number.

7740631275601 is the 1391100-th centered octagonal number.

It is an amenable number.

7740631275601 is a deficient number, since it is larger than the sum of its proper divisors (1307050094840).

7740631275601 is an frugal number, since it uses more digits than its factorization.

7740631275601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

Multiplying 7740631275601 by its sum of digits (49), we get a square (379290932504449 = 19475393²).

7740631275601 divided by its sum of digits (49) gives a square (157972066849 = 397457²).

The spelling of 7740631275601 in words is "seven trillion, seven hundred forty billion, six hundred thirty-one million, two hundred seventy-five thousand, six hundred one".