7631043840 has 432 divisors, whose sum is σ = 30404320128. Its totient is φ = 1730985984.

The previous prime is 7631043781. The next prime is 7631043857. The reversal of 7631043840 is 483401367.

It is a super-3 number, since 3×7631043840³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7631043795 and 7631043804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13950447 + ... + 13950993.

Almost surely, 2^7631043840 is an apocalyptic number.

7631043840 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 7631043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202160064).

7631043840 is an abundant number, since it is smaller than the sum of its proper divisors (22773276288).

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

7631043840 is a wasteful number, since it uses less digits than its factorization.

7631043840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7631043840 is about 87355.8460550867. The cubic root of 7631043840 is about 1968.7684882920.

The spelling of 7631043840 in words is "seven billion, six hundred thirty-one million, forty-three thousand, eight hundred forty".