7671882240 has 240 divisors, whose sum is σ = 28986287616. Its totient is φ = 1859788800.

The previous prime is 7671882233. The next prime is 7671882271. The reversal of 7671882240 is 422881767.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 238305 + ... + 268575.

Almost surely, 2^7671882240 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 7671882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14493143808).

7671882240 is an abundant number, since it is smaller than the sum of its proper divisors (21314405376).

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

7671882240 is a wasteful number, since it uses less digits than its factorization.

7671882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30311 (or 30292 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 7671882240 is about 87589.2815360418. The cubic root of 7671882240 is about 1972.2742714217.

The spelling of 7671882240 in words is "seven billion, six hundred seventy-one million, eight hundred eighty-two thousand, two hundred forty".