7685634240 has 448 divisors, whose sum is σ = 28131333120. Its totient is φ = 1974067200.

The previous prime is 7685634221. The next prime is 7685634247. The reversal of 7685634240 is 424365867.

7685634240 is a `hidden beast` number, since 7 + 6 + 8 + 5 + 634 + 2 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7685634247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50898165 + ... + 50898315.

Almost surely, 2^7685634240 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 7685634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14065666560).

7685634240 is an abundant number, since it is smaller than the sum of its proper divisors (20445698880).

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

7685634240 is a wasteful number, since it uses less digits than its factorization.

7685634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 7685634240 is about 87667.7491441408. The cubic root of 7685634240 is about 1973.4520148164.

The spelling of 7685634240 in words is "seven billion, six hundred eighty-five million, six hundred thirty-four thousand, two hundred forty".