7987338374400 has 1728 divisors, whose sum is σ = 37264114944000. Its totient is φ = 1659571200000.

The previous prime is 7987338374399. The next prime is 7987338374401. The reversal of 7987338374400 is 44738337897.

7987338374400 is a `hidden beast` number, since 7 + 9 + 87 + 3 + 3 + 83 + 74 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (7987338374399) and next prime (7987338374401).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7987338374401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 651968275 + ... + 651980525.

Almost surely, 2^{7987338374400} is an apocalyptic number.

7987338374400 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 7987338374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18632057472000).

7987338374400 is an abundant number, since it is smaller than the sum of its proper divisors (29276776569600).

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

7987338374400 is a wasteful number, since it uses less digits than its factorization.

7987338374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12318 (or 12279 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 7987338374400 in words is "seven trillion, nine hundred eighty-seven billion, three hundred thirty-eight million, three hundred seventy-four thousand, four hundred".