76431681040 has 160 divisors (see below), whose sum is σ = 208957625856. Its totient is φ = 25632430080.

The previous prime is 76431681031. The next prime is 76431681103. The reversal of 76431681040 is 4018613467.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 76431680984 and 76431681002.

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, 17009034 + ... + 17013526.

Almost surely, 2^76431681040 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 76431681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104478812928).

76431681040 is an abundant number, since it is smaller than the sum of its proper divisors (132525944816).

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

76431681040 is a wasteful number, since it uses less digits than its factorization.

76431681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6017 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 76431681040 in words is "seventy-six billion, four hundred thirty-one million, six hundred eighty-one thousand, forty".