73671920002000 has 160 divisors (see below), whose sum is σ = 180306438399360. Its totient is φ = 29110252953600.

The previous prime is 73671920001847. The next prime is 73671920002001. The reversal of 73671920002000 is 20002917637.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73671920002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1736172784 + ... + 1736215216.

It is an arithmetic number, because the mean of its divisors is an integer number (1126915239996).

Almost surely, 2^{73671920002000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73671920002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90153219199680).

73671920002000 is an abundant number, since it is smaller than the sum of its proper divisors (106634518397360).

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

73671920002000 is a wasteful number, since it uses less digits than its factorization.

73671920002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52998 (or 52982 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

Adding to 73671920002000 its reverse (20002917637), we get a palindrome (73691922919637).

The spelling of 73671920002000 in words is "seventy-three trillion, six hundred seventy-one billion, nine hundred twenty million, two thousand".