7461147264 has 32 divisors (see below), whose sum is σ = 19818673440. Its totient is φ = 2487048960.

The previous prime is 7461147263. The next prime is 7461147319. The reversal of 7461147264 is 4627411647.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7461147263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9714652 + ... + 9715419.

It is an arithmetic number, because the mean of its divisors is an integer number (619333545).

Almost surely, 2^7461147264 is an apocalyptic number.

It is an amenable number.

7461147264 is an abundant number, since it is smaller than the sum of its proper divisors (12357526176).

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

7461147264 is a wasteful number, since it uses less digits than its factorization.

7461147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19430088 (or 19430076 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 7461147264 is about 86377.9327374764. The cubic root of 7461147264 is about 1954.0478933025.

It can be divided in two parts, 746114 and 7264, that added together give a triangular number (753378 = T₁₂₂₇).

The spelling of 7461147264 in words is "seven billion, four hundred sixty-one million, one hundred forty-seven thousand, two hundred sixty-four".