67817950945920 has 512 divisors, whose sum is σ = 274540654080000. Its totient is φ = 15499019685888.

The previous prime is 67817950945879. The next prime is 67817950945937. The reversal of 67817950945920 is 2954905971876.

67817950945920 is a `hidden beast` number, since 6 + 7 + 8 + 1 + 79 + 509 + 45 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×67817950945920² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 931234629 + ... + 931307451.

It is an arithmetic number, because the mean of its divisors is an integer number (536212215000).

Almost surely, 2^{67817950945920} is an apocalyptic number.

67817950945920 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 67817950945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137270327040000).

67817950945920 is an abundant number, since it is smaller than the sum of its proper divisors (206722703134080).

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

67817950945920 is a wasteful number, since it uses less digits than its factorization.

67817950945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80557 (or 80539 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 67817950945920 in words is "sixty-seven trillion, eight hundred seventeen billion, nine hundred fifty million, nine hundred forty-five thousand, nine hundred twenty".