76409135040 has 896 divisors, whose sum is σ = 300110469120. Its totient is φ = 16102195200.

The previous prime is 76409134993. The next prime is 76409135041. The reversal of 76409135040 is 4053190467.

It is a self number, because there is not a number n which added to its sum of digits gives 76409135040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76409135041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 583275775 + ... + 583275905.

It is an arithmetic number, because the mean of its divisors is an integer number (334944720).

Almost surely, 2^76409135040 is an apocalyptic number.

76409135040 is a gapful number since it is divisible by the number (70) 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 76409135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150055234560).

76409135040 is an abundant number, since it is smaller than the sum of its proper divisors (223701334080).

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

76409135040 is a wasteful number, since it uses less digits than its factorization.

76409135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 76409135040 in words is "seventy-six billion, four hundred nine million, one hundred thirty-five thousand, forty".