68870569248000 has 3456 divisors, whose sum is σ = 292090086812160. Its totient is φ = 15881320857600.

The previous prime is 68870569247999. The next prime is 68870569248007. The reversal of 68870569248000 is 84296507886.

68870569248000 is a `hidden beast` number, since 6 + 88 + 70 + 5 + 6 + 9 + 2 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68870569248007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 398095775914 + ... + 398095776086.

Almost surely, 2^{68870569248000} is an apocalyptic number.

68870569248000 is a gapful number since it is divisible by the number (60) 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 68870569248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146045043406080).

68870569248000 is an abundant number, since it is smaller than the sum of its proper divisors (223219517564160).

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

68870569248000 is a wasteful number, since it uses less digits than its factorization.

68870569248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 68870569248000 in words is "sixty-eight trillion, eight hundred seventy billion, five hundred sixty-nine million, two hundred forty-eight thousand".