7678738267200 has 5376 divisors, whose sum is σ = 39682420162560. Its totient is φ = 1393459200000.

The previous prime is 7678738267163. The next prime is 7678738267201. The reversal of 7678738267200 is 27628378767.

7678738267200 is a `hidden beast` number, since 7 + 67 + 87 + 38 + 267 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7678738267201) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 108151243165 + ... + 108151243235.

It is an arithmetic number, because the mean of its divisors is an integer number (7381402560).

Almost surely, 2^{7678738267200} is an apocalyptic number.

7678738267200 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 7678738267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19841210081280).

7678738267200 is an abundant number, since it is smaller than the sum of its proper divisors (32003681895360).

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

7678738267200 is a wasteful number, since it uses less digits than its factorization.

7678738267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 7678738267200 in words is "seven trillion, six hundred seventy-eight billion, seven hundred thirty-eight million, two hundred sixty-seven thousand, two hundred".