7872411640 has 128 divisors (see below), whose sum is σ = 18720979200. Its totient is φ = 2976030720.

The previous prime is 7872411571. The next prime is 7872411649. The reversal of 7872411640 is 461142787.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 7872411593 and 7872411602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7872411649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8401252 + ... + 8402188.

It is an arithmetic number, because the mean of its divisors is an integer number (146257650).

Almost surely, 2^7872411640 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 7872411640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360489600).

7872411640 is an abundant number, since it is smaller than the sum of its proper divisors (10848567560).

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

7872411640 is a wasteful number, since it uses less digits than its factorization.

7872411640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 7872411640 is about 88726.6117915026. The cubic root of 7872411640 is about 1989.3106068877.

The spelling of 7872411640 in words is "seven billion, eight hundred seventy-two million, four hundred eleven thousand, six hundred forty".