7916408640 has 840 divisors, whose sum is σ = 34307995392. Its totient is φ = 1724405760.

The previous prime is 7916408629. The next prime is 7916408657. The reversal of 7916408640 is 468046197.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29211705 + ... + 29211975.

Almost surely, 2^7916408640 is an apocalyptic number.

7916408640 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 7916408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153997696).

7916408640 is an abundant number, since it is smaller than the sum of its proper divisors (26391586752).

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

7916408640 is a wasteful number, since it uses less digits than its factorization.

7916408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7916408640 is about 88974.2021037559. The cubic root of 7916408640 is about 1993.0096492972.

The spelling of 7916408640 in words is "seven billion, nine hundred sixteen million, four hundred eight thousand, six hundred forty".