7283132640 has 432 divisors, whose sum is σ = 29101061808. Its totient is φ = 1653829632.

The previous prime is 7283132629. The next prime is 7283132657. The reversal of 7283132640 is 462313827.

It is a happy number.

7283132640 is a `hidden beast` number, since 7 + 2 + 8 + 3 + 1 + 3 + 2 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7283132595 and 7283132604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16440259 + ... + 16440701.

It is an arithmetic number, because the mean of its divisors is an integer number (67363569).

Almost surely, 2^7283132640 is an apocalyptic number.

7283132640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7283132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14550530904).

7283132640 is an abundant number, since it is smaller than the sum of its proper divisors (21817929168).

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

7283132640 is a wasteful number, since it uses less digits than its factorization.

7283132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7283132640 is about 85341.2716099309. The cubic root of 7283132640 is about 1938.3821705396.

The spelling of 7283132640 in words is "seven billion, two hundred eighty-three million, one hundred thirty-two thousand, six hundred forty".