68283647040 has 896 divisors, whose sum is σ = 279288483840. Its totient is φ = 13759414272.

The previous prime is 68283647039. The next prime is 68283647063. The reversal of 68283647040 is 4074638286.

It is a super-3 number, since 3×68283647040³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 353801184 + ... + 353801376.

Almost surely, 2^68283647040 is an apocalyptic number.

68283647040 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 68283647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139644241920).

68283647040 is an abundant number, since it is smaller than the sum of its proper divisors (211004836800).

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

68283647040 is a wasteful number, since it uses less digits than its factorization.

68283647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 68283647040 in words is "sixty-eight billion, two hundred eighty-three million, six hundred forty-seven thousand, forty".