7983754632 has 240 divisors, whose sum is σ = 26855262720. Its totient is φ = 2207217600.

The previous prime is 7983754631. The next prime is 7983754673. The reversal of 7983754632 is 2364573897.

7983754632 is a `hidden beast` number, since 7 + 98 + 3 + 7 + 546 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7983754631) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 980257 + ... + 988367.

It is an arithmetic number, because the mean of its divisors is an integer number (111896928).

Almost surely, 2^7983754632 is an apocalyptic number.

7983754632 is a gapful number since it is divisible by the number (72) 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 7983754632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13427631360).

7983754632 is an abundant number, since it is smaller than the sum of its proper divisors (18871508088).

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

7983754632 is a wasteful number, since it uses less digits than its factorization.

7983754632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8174 (or 8154 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 7983754632 is about 89351.8585816770. The cubic root of 7983754632 is about 1998.6453019371.

The spelling of 7983754632 in words is "seven billion, nine hundred eighty-three million, seven hundred fifty-four thousand, six hundred thirty-two".