76435413088320 has 5376 divisors, whose sum is σ = 346194459426816. Its totient is φ = 15216574464000.

The previous prime is 76435413088303. The next prime is 76435413088337. The reversal of 76435413088320 is 2388031453467.

It is a happy number.

76435413088320 is a `hidden beast` number, since 7 + 6 + 4 + 3 + 5 + 4 + 1 + 308 + 8 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (76435413088303) and next prime (76435413088337).

It is a super-3 number, since 3×76435413088320³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1076555113885 + ... + 1076555113955.

It is an arithmetic number, because the mean of its divisors is an integer number (64396290816).

Almost surely, 2^{76435413088320} 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 76435413088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173097229713408).

76435413088320 is an abundant number, since it is smaller than the sum of its proper divisors (269759046338496).

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

76435413088320 is a wasteful number, since it uses less digits than its factorization.

76435413088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 76435413088320 in words is "seventy-six trillion, four hundred thirty-five billion, four hundred thirteen million, eighty-eight thousand, three hundred twenty".