7987063563648 has 384 divisors, whose sum is σ = 25956827114400. Its totient is φ = 2429934059520.

The previous prime is 7987063563601. The next prime is 7987063563691. The reversal of 7987063563648 is 8463653607897.

7987063563648 is a `hidden beast` number, since 7 + 98 + 70 + 63 + 56 + 364 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35876358 + ... + 36098298.

Almost surely, 2^{7987063563648} is an apocalyptic number.

7987063563648 is a gapful number since it is divisible by the number (78) 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 7987063563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12978413557200).

7987063563648 is an abundant number, since it is smaller than the sum of its proper divisors (17969763550752).

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

7987063563648 is a wasteful number, since it uses less digits than its factorization.

7987063563648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222072 (or 222048 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 7987063563648 in words is "seven trillion, nine hundred eighty-seven billion, sixty-three million, five hundred sixty-three thousand, six hundred forty-eight".