76468410720 has 384 divisors, whose sum is σ = 288854294400. Its totient is φ = 18782060544.

The previous prime is 76468410713. The next prime is 76468410727. The reversal of 76468410720 is 2701486467.

It is an interprime number because it is at equal distance from previous prime (76468410713) and next prime (76468410727).

It is a super-2 number, since 2×76468410720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76468410727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31953844 + ... + 31956236.

It is an arithmetic number, because the mean of its divisors is an integer number (752224725).

Almost surely, 2^76468410720 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 76468410720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144427147200).

76468410720 is an abundant number, since it is smaller than the sum of its proper divisors (212385883680).

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

76468410720 is a wasteful number, since it uses less digits than its factorization.

76468410720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 76468410720 in words is "seventy-six billion, four hundred sixty-eight million, four hundred ten thousand, seven hundred twenty".