7938649555200 has 4320 divisors, whose sum is σ = 40342145437440. Its totient is φ = 1490603212800.

The previous prime is 7938649555159. The next prime is 7938649555247. The reversal of 7938649555200 is 25559468397.

7938649555200 is a `hidden beast` number, since 7 + 9 + 38 + 6 + 49 + 5 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 15237330940 + ... + 15237331460.

It is an arithmetic number, because the mean of its divisors is an integer number (9338459592).

Almost surely, 2^{7938649555200} is an apocalyptic number.

7938649555200 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 7938649555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20171072718720).

7938649555200 is an abundant number, since it is smaller than the sum of its proper divisors (32403495882240).

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

7938649555200 is a wasteful number, since it uses less digits than its factorization.

7938649555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 7938649555200 in words is "seven trillion, nine hundred thirty-eight billion, six hundred forty-nine million, five hundred fifty-five thousand, two hundred".