76225417632 has 576 divisors, whose sum is σ = 294935437440. Its totient is φ = 18918531072.

The previous prime is 76225417613. The next prime is 76225417657. The reversal of 76225417632 is 23671452267.

76225417632 is a `hidden beast` number, since 7 + 6 + 2 + 2 + 5 + 4 + 1 + 7 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9352183 + ... + 9360329.

It is an arithmetic number, because the mean of its divisors is an integer number (512040690).

Almost surely, 2^76225417632 is an apocalyptic number.

76225417632 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 76225417632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147467718720).

76225417632 is an abundant number, since it is smaller than the sum of its proper divisors (218710019808).

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

76225417632 is a wasteful number, since it uses less digits than its factorization.

76225417632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8210 (or 8189 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

Adding to 76225417632 its reverse (23671452267), we get a palindrome (99896869899).

The spelling of 76225417632 in words is "seventy-six billion, two hundred twenty-five million, four hundred seventeen thousand, six hundred thirty-two".