7631966151 has 64 divisors (see below), whose sum is σ = 12125721600. Its totient is φ = 4730140800.

The previous prime is 7631966149. The next prime is 7631966161. The reversal of 7631966151 is 1516691367.

7631966151 is a `hidden beast` number, since 7 + 631 + 9 + 6 + 6 + 1 + 5 + 1 = 666.

It is not a de Polignac number, because 7631966151 - 2¹ = 7631966149 is a prime.

It is a super-3 number, since 3×7631966151³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7631966097 and 7631966106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7631966161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11545761 + ... + 11546421.

It is an arithmetic number, because the mean of its divisors is an integer number (189464400).

Almost surely, 2^7631966151 is an apocalyptic number.

7631966151 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

7631966151 is a deficient number, since it is larger than the sum of its proper divisors (4493755449).

7631966151 is a wasteful number, since it uses less digits than its factorization.

7631966151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1071 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 7631966151 is about 87361.1249412460. The cubic root of 7631966151 is about 1968.8478021981.

The spelling of 7631966151 in words is "seven billion, six hundred thirty-one million, nine hundred sixty-six thousand, one hundred fifty-one".