7841928640 has 672 divisors, whose sum is σ = 25918631424. Its totient is φ = 2229534720.

The previous prime is 7841928593. The next prime is 7841928641. The reversal of 7841928640 is 468291487.

It is a happy number.

It is a super-2 number, since 2×7841928640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7841928641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107423644 + ... + 107423716.

It is an arithmetic number, because the mean of its divisors is an integer number (38569392).

Almost surely, 2^7841928640 is an apocalyptic number.

7841928640 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 7841928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12959315712).

7841928640 is an abundant number, since it is smaller than the sum of its proper divisors (18076702784).

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

7841928640 is a wasteful number, since it uses less digits than its factorization.

7841928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The square root of 7841928640 is about 88554.6646992692. The cubic root of 7841928640 is about 1986.7396626983.

The spelling of 7841928640 in words is "seven billion, eight hundred forty-one million, nine hundred twenty-eight thousand, six hundred forty".