77346520842240 has 2160 divisors, whose sum is σ = 305819016205248. Its totient is φ = 18741851062272.

The previous prime is 77346520842221. The next prime is 77346520842281. The reversal of 77346520842240 is 4224802564377.

77346520842240 is a `hidden beast` number, since 7 + 7 + 3 + 4 + 6 + 5 + 208 + 422 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 279229316982 + ... + 279229317258.

Almost surely, 2^{77346520842240} 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 77346520842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152909508102624).

77346520842240 is an abundant number, since it is smaller than the sum of its proper divisors (228472495363008).

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

77346520842240 is an equidigital number, since it uses as much as digits as its factorization.

77346520842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 77346520842240 in words is "seventy-seven trillion, three hundred forty-six billion, five hundred twenty million, eight hundred forty-two thousand, two hundred forty".