7134456960 has 96 divisors (see below), whose sum is σ = 24636191580. Its totient is φ = 1902520320.

The previous prime is 7134456949. The next prime is 7134457007. The reversal of 7134456960 is 696544317.

7134456960 is a `hidden beast` number, since 7 + 134 + 456 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6568778304 + 565678656 = 81048^2 + 23784^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×7134456960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613551 + ... + 625070.

Almost surely, 2^7134456960 is an apocalyptic number.

It is an amenable number.

7134456960 is an abundant number, since it is smaller than the sum of its proper divisors (17501734620).

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

7134456960 is a wasteful number, since it uses less digits than its factorization.

7134456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238646 (or 1238631 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 7134456960 is about 84465.7147012917. The cubic root of 7134456960 is about 1925.1015371190.

The spelling of 7134456960 in words is "seven billion, one hundred thirty-four million, four hundred fifty-six thousand, nine hundred sixty".