67839728640 has 352 divisors, whose sum is σ = 222844608000. Its totient is φ = 17607622656.

The previous prime is 67839728609. The next prime is 67839728651. The reversal of 67839728640 is 4682793876.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135951111 + ... + 135951609.

Almost surely, 2^67839728640 is an apocalyptic number.

67839728640 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 67839728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111422304000).

67839728640 is an abundant number, since it is smaller than the sum of its proper divisors (155004879360).

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

67839728640 is a wasteful number, since it uses less digits than its factorization.

67839728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 67839728640 in words is "sixty-seven billion, eight hundred thirty-nine million, seven hundred twenty-eight thousand, six hundred forty".