68687481600 has 270 divisors, whose sum is σ = 253970832500. Its totient is φ = 18316523520.

The previous prime is 68687481521. The next prime is 68687481619. The reversal of 68687481600 is 618478686.

68687481600 is a `hidden beast` number, since 6 + 86 + 87 + 481 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 452151 + ... + 584649.

Almost surely, 2^68687481600 is an apocalyptic number.

68687481600 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 68687481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126985416250).

68687481600 is an abundant number, since it is smaller than the sum of its proper divisors (185283350900).

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

68687481600 is a wasteful number, since it uses less digits than its factorization.

68687481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132537 (or 132509 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 68687481600 in words is "sixty-eight billion, six hundred eighty-seven million, four hundred eighty-one thousand, six hundred".