7493056956 has 120 divisors (see below), whose sum is σ = 24421896576. Its totient is φ = 1946242080.

The previous prime is 7493056943. The next prime is 7493056979. The reversal of 7493056956 is 6596503947.

7493056956 is a `hidden beast` number, since 7 + 49 + 30 + 569 + 5 + 6 = 666.

It is a super-3 number, since 3×7493056956³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125226 + ... + 175121.

Almost surely, 2^7493056956 is an apocalyptic number.

It is an amenable number.

7493056956 is an abundant number, since it is smaller than the sum of its proper divisors (16928839620).

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

7493056956 is a wasteful number, since it uses less digits than its factorization.

7493056956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300381 (or 300370 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 7493056956 is about 86562.4454137012. The cubic root of 7493056956 is about 1956.8296096924.

The spelling of 7493056956 in words is "seven billion, four hundred ninety-three million, fifty-six thousand, nine hundred fifty-six".