7830632040 has 256 divisors, whose sum is σ = 29523640320. Its totient is φ = 1614090240.

The previous prime is 7830631979. The next prime is 7830632041. The reversal of 7830632040 is 402360387.

It is a super-2 number, since 2×7830632040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 7830631992 and 7830632010.

It is not an unprimeable number, because it can be changed into a prime (7830632041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1170144 + ... + 1176816.

It is an arithmetic number, because the mean of its divisors is an integer number (115326720).

Almost surely, 2^7830632040 is an apocalyptic number.

7830632040 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 7830632040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761820160).

7830632040 is an abundant number, since it is smaller than the sum of its proper divisors (21693008280).

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

7830632040 is a wasteful number, since it uses less digits than its factorization.

7830632040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 7830632040 is about 88490.8585109219. The cubic root of 7830632040 is about 1985.7852125964.

The spelling of 7830632040 in words is "seven billion, eight hundred thirty million, six hundred thirty-two thousand, forty".