76483872067680 has 1152 divisors, whose sum is σ = 333439981056000. Its totient is φ = 15825987072000.

The previous prime is 76483872067661. The next prime is 76483872067741. The reversal of 76483872067680 is 8676027838467.

76483872067680 is a `hidden beast` number, since 7 + 6 + 483 + 8 + 7 + 2 + 0 + 67 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 76483872067599 and 76483872067608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1298486230 + ... + 1298545130.

It is an arithmetic number, because the mean of its divisors is an integer number (289444428000).

Almost surely, 2^{76483872067680} is an apocalyptic number.

76483872067680 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 76483872067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166719990528000).

76483872067680 is an abundant number, since it is smaller than the sum of its proper divisors (256956108988320).

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

76483872067680 is a wasteful number, since it uses less digits than its factorization.

76483872067680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59193 (or 59168 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 76483872067680 in words is "seventy-six trillion, four hundred eighty-three billion, eight hundred seventy-two million, sixty-seven thousand, six hundred eighty".