69768656640 has 720 divisors, whose sum is σ = 266041480320. Its totient is φ = 17408286720.

The previous prime is 69768656623. The next prime is 69768656651. The reversal of 69768656640 is 4665686796.

69768656640 is a `hidden beast` number, since 6 + 9 + 7 + 68 + 6 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 210781275 + ... + 210781605.

It is an arithmetic number, because the mean of its divisors is an integer number (369502056).

Almost surely, 2^69768656640 is an apocalyptic number.

69768656640 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 69768656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133020740160).

69768656640 is an abundant number, since it is smaller than the sum of its proper divisors (196272823680).

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

69768656640 is a wasteful number, since it uses less digits than its factorization.

69768656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 69768656640 in words is "sixty-nine billion, seven hundred sixty-eight million, six hundred fifty-six thousand, six hundred forty".