7463276640 has 144 divisors (see below), whose sum is σ = 26010548928. Its totient is φ = 1947844608.

The previous prime is 7463276609. The next prime is 7463276707. The reversal of 7463276640 is 466723647.

7463276640 is a `hidden beast` number, since 7 + 4 + 632 + 7 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12544 + ... + 122816.

It is an arithmetic number, because the mean of its divisors is an integer number (180628812).

Almost surely, 2^7463276640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7463276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005274464).

7463276640 is an abundant number, since it is smaller than the sum of its proper divisors (18547272288).

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

7463276640 is a wasteful number, since it uses less digits than its factorization.

7463276640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110341 (or 110330 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 7463276640 is about 86390.2577840812. The cubic root of 7463276640 is about 1954.2337676177.

The spelling of 7463276640 in words is "seven billion, four hundred sixty-three million, two hundred seventy-six thousand, six hundred forty".