7716399684000 has 384 divisors, whose sum is σ = 28897875062784. Its totient is φ = 1763280000000.

The previous prime is 7716399683969. The next prime is 7716399684013. The reversal of 7716399684000 is 4869936177.

It is a super-3 number, since 3×7716399684000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390674125 + ... + 390693875.

It is an arithmetic number, because the mean of its divisors is an integer number (75254882976).

Almost surely, 2^{7716399684000} is an apocalyptic number.

7716399684000 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 7716399684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14448937531392).

7716399684000 is an abundant number, since it is smaller than the sum of its proper divisors (21181475378784).

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

7716399684000 is a wasteful number, since it uses less digits than its factorization.

7716399684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24437 (or 24419 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 7716399684000 in words is "seven trillion, seven hundred sixteen billion, three hundred ninety-nine million, six hundred eighty-four thousand".