67983398159040 has 5040 divisors, whose sum is σ = 333491878266624. Its totient is φ = 13042778112000.

The previous prime is 67983398158979. The next prime is 67983398159063. The reversal of 67983398159040 is 4095189338976.

67983398159040 is a `hidden beast` number, since 6 + 7 + 9 + 83 + 398 + 159 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a super-2 number, since 2×67983398159040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 67983398159040.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 113117134740 + ... + 113117135340.

Almost surely, 2^{67983398159040} is an apocalyptic number.

67983398159040 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 67983398159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166745939133312).

67983398159040 is an abundant number, since it is smaller than the sum of its proper divisors (265508480107584).

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

67983398159040 is a wasteful number, since it uses less digits than its factorization.

67983398159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 67983398159040 in words is "sixty-seven trillion, nine hundred eighty-three billion, three hundred ninety-eight million, one hundred fifty-nine thousand, forty".