7656632340 has 192 divisors, whose sum is σ = 25361645568. Its totient is φ = 1688947200.

The previous prime is 7656632323. The next prime is 7656632387. The reversal of 7656632340 is 432366567.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7656632292 and 7656632301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7043277 + ... + 7044363.

It is an arithmetic number, because the mean of its divisors is an integer number (132091904).

Almost surely, 2^7656632340 is an apocalyptic number.

7656632340 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 7656632340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12680822784).

7656632340 is an abundant number, since it is smaller than the sum of its proper divisors (17705013228).

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

7656632340 is a wasteful number, since it uses less digits than its factorization.

7656632340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The square root of 7656632340 is about 87502.1847727244. The cubic root of 7656632340 is about 1970.9665985818.

The spelling of 7656632340 in words is "seven billion, six hundred fifty-six million, six hundred thirty-two thousand, three hundred forty".