76004947050240 has 288 divisors, whose sum is σ = 261427732614720. Its totient is φ = 18707867762688.

The previous prime is 76004947050223. The next prime is 76004947050257. The reversal of 76004947050240 is 4205074940067.

It is an interprime number because it is at equal distance from previous prime (76004947050223) and next prime (76004947050257).

It is a super-2 number, since 2×76004947050240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76004947050240.

It is a congruent number.

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, 1287557046 + ... + 1287616074.

It is an arithmetic number, because the mean of its divisors is an integer number (907735182690).

Almost surely, 2^{76004947050240} 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 76004947050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130713866307360).

76004947050240 is an abundant number, since it is smaller than the sum of its proper divisors (185422785564480).

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

76004947050240 is a wasteful number, since it uses less digits than its factorization.

76004947050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84859 (or 84845 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 76004947050240 in words is "seventy-six trillion, four billion, nine hundred forty-seven million, fifty thousand, two hundred forty".