76426654752 has 648 divisors, whose sum is σ = 270415012140. Its totient is φ = 20389017600.

The previous prime is 76426654687. The next prime is 76426654753. The reversal of 76426654752 is 25745662467.

76426654752 is a `hidden beast` number, since 7 + 6 + 42 + 6 + 6 + 547 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69525032976 + 6901621776 = 263676^2 + 83076^2 .

It is not an unprimeable number, because it can be changed into a prime (76426654753) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 756699502 + ... + 756699602.

Almost surely, 2^76426654752 is an apocalyptic number.

76426654752 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 76426654752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135207506070).

76426654752 is an abundant number, since it is smaller than the sum of its proper divisors (193988357388).

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

76426654752 is a wasteful number, since it uses less digits than its factorization.

76426654752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 185 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 76426654752 in words is "seventy-six billion, four hundred twenty-six million, six hundred fifty-four thousand, seven hundred fifty-two".