73767288900 has 144 divisors (see below), whose sum is σ = 217114103808. Its totient is φ = 19333776000.

The previous prime is 73767288883. The next prime is 73767288937. The reversal of 73767288900 is 988276737.

It is a super-2 number, since 2×73767288900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7045069 + ... + 7055531.

It is an arithmetic number, because the mean of its divisors is an integer number (1507736832).

Almost surely, 2^73767288900 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 73767288900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108557051904).

73767288900 is an abundant number, since it is smaller than the sum of its proper divisors (143346814908).

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

73767288900 is a wasteful number, since it uses less digits than its factorization.

73767288900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10882 (or 10875 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 73767288900 in words is "seventy-three billion, seven hundred sixty-seven million, two hundred eighty-eight thousand, nine hundred".