7698938016000 has 3456 divisors, whose sum is σ = 35175647969280. Its totient is φ = 1470873600000.

The previous prime is 7698938015933. The next prime is 7698938016053. The reversal of 7698938016000 is 6108398967.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40308575905 + ... + 40308576095.

It is an arithmetic number, because the mean of its divisors is an integer number (10178138880).

Almost surely, 2^{7698938016000} is an apocalyptic number.

7698938016000 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 7698938016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587823984640).

7698938016000 is an abundant number, since it is smaller than the sum of its proper divisors (27476709953280).

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

7698938016000 is a wasteful number, since it uses less digits than its factorization.

7698938016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 7698938016000 in words is "seven trillion, six hundred ninety-eight billion, nine hundred thirty-eight million, sixteen thousand".