8385631712640 has 1344 divisors, whose sum is σ = 37198445516640. Its totient is φ = 1769159688192.

The previous prime is 8385631712639. The next prime is 8385631712677. The reversal of 8385631712640 is 462171365838.

8385631712640 is a `hidden beast` number, since 8 + 3 + 8 + 563 + 1 + 7 + 12 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 551932884 + ... + 551948076.

Almost surely, 2^{8385631712640} is an apocalyptic number.

8385631712640 is a gapful number since it is divisible by the number (80) 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 8385631712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18599222758320).

8385631712640 is an abundant number, since it is smaller than the sum of its proper divisors (28812813804000).

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

8385631712640 is a wasteful number, since it uses less digits than its factorization.

8385631712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15263 (or 15223 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 8385631712640 in words is "eight trillion, three hundred eighty-five billion, six hundred thirty-one million, seven hundred twelve thousand, six hundred forty".