69768829992960 has 2736 divisors, whose sum is σ = 307093938003840. Its totient is φ = 14860167413760.

The previous prime is 69768829992943. The next prime is 69768829993003. The reversal of 69768829992960 is 6929992886796.

69768829992960 is a `hidden beast` number, since 6 + 9 + 76 + 88 + 299 + 92 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2736).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1143751311330 + ... + 1143751311390.

Almost surely, 2^{69768829992960} is an apocalyptic number.

69768829992960 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 69768829992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153546969001920).

69768829992960 is an abundant number, since it is smaller than the sum of its proper divisors (237325108010880).

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

69768829992960 is an frugal number, since it uses more digits than its factorization.

69768829992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 22856214528, while the sum is 90.

The spelling of 69768829992960 in words is "sixty-nine trillion, seven hundred sixty-eight billion, eight hundred twenty-nine million, nine hundred ninety-two thousand, nine hundred sixty".