7680083558400 has 1020 divisors, whose sum is σ = 31044578437224. Its totient is φ = 1861484544000.

The previous prime is 7680083558317. The next prime is 7680083558443. The reversal of 7680083558400 is 48553800867.

7680083558400 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 0 + 83 + 558 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×7680083558400³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1459811770 + ... + 1459817030.

Almost surely, 2^{7680083558400} 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 7680083558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15522289218612).

7680083558400 is an abundant number, since it is smaller than the sum of its proper divisors (23364494878824).

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

7680083558400 is an equidigital number, since it uses as much as digits as its factorization.

7680083558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 7680083558400 in words is "seven trillion, six hundred eighty billion, eighty-three million, five hundred fifty-eight thousand, four hundred".