73688683068000 has 1920 divisors, whose sum is σ = 363139428427776. Its totient is φ = 14134030848000.

The previous prime is 73688683067981. The next prime is 73688683068029. The reversal of 73688683068000 is 86038688637.

It is a super-2 number, since 2×73688683068000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 324210397 + ... + 324437603.

Almost surely, 2^{73688683068000} is an apocalyptic number.

73688683068000 is a gapful number since it is divisible by the number (70) 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 73688683068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181569714213888).

73688683068000 is an abundant number, since it is smaller than the sum of its proper divisors (289450745359776).

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

73688683068000 is a wasteful number, since it uses less digits than its factorization.

73688683068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227275 (or 227248 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 73688683068000 in words is "seventy-three trillion, six hundred eighty-eight billion, six hundred eighty-three million, sixty-eight thousand".