76682846046240 has 1728 divisors, whose sum is σ = 337104979061760. Its totient is φ = 16376838266880.

The previous prime is 76682846046223. The next prime is 76682846046263. The reversal of 76682846046240 is 4264064828667.

76682846046240 is a `hidden beast` number, since 76 + 6 + 8 + 2 + 8 + 4 + 60 + 462 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1712680494 + ... + 1712725266.

It is an arithmetic number, because the mean of its divisors is an integer number (195083899920).

Almost surely, 2^{76682846046240} is an apocalyptic number.

76682846046240 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 76682846046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168552489530880).

76682846046240 is an abundant number, since it is smaller than the sum of its proper divisors (260422133015520).

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

76682846046240 is a wasteful number, since it uses less digits than its factorization.

76682846046240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44877 (or 44850 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 76682846046240 in words is "seventy-six trillion, six hundred eighty-two billion, eight hundred forty-six million, forty-six thousand, two hundred forty".