76632066240 has 224 divisors, whose sum is σ = 245420083200. Its totient is φ = 20258574336.

The previous prime is 76632066227. The next prime is 76632066253. The reversal of 76632066240 is 4266023667.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76632066227) and next prime (76632066253).

It is a junction number, because it is equal to n+sod(n) for n = 76632066192 and 76632066201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70111134 + ... + 70112226.

Almost surely, 2^76632066240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76632066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122710041600).

76632066240 is an abundant number, since it is smaller than the sum of its proper divisors (168788016960).

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

76632066240 is a wasteful number, since it uses less digits than its factorization.

76632066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 76632066240 in words is "seventy-six billion, six hundred thirty-two million, sixty-six thousand, two hundred forty".