7683480806400 has 2112 divisors, whose sum is σ = 34497052761600. Its totient is φ = 1635841474560.

The previous prime is 7683480806333. The next prime is 7683480806411. The reversal of 7683480806400 is 46080843867.

7683480806400 is a `hidden beast` number, since 7 + 6 + 83 + 4 + 80 + 80 + 6 + 400 = 666.

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 191 ways as a sum of consecutive naturals, for example, 8965554772 + ... + 8965555628.

It is an arithmetic number, because the mean of its divisors is an integer number (16333831800).

Almost surely, 2^{7683480806400} is an apocalyptic number.

7683480806400 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 7683480806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248526380800).

7683480806400 is an abundant number, since it is smaller than the sum of its proper divisors (26813571955200).

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

7683480806400 is a wasteful number, since it uses less digits than its factorization.

7683480806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 7683480806400 in words is "seven trillion, six hundred eighty-three billion, four hundred eighty million, eight hundred six thousand, four hundred".