73977000006 has 96 divisors (see below), whose sum is σ = 185639071968. Its totient is φ = 19479882240.

The previous prime is 73976999977. The next prime is 73977000037. The reversal of 73977000006 is 60000077937.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 2480946 + ... + 2510586.

It is an arithmetic number, because the mean of its divisors is an integer number (1933740333).

Almost surely, 2^73977000006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73977000006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92819535984).

73977000006 is an abundant number, since it is smaller than the sum of its proper divisors (111662071962).

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

73977000006 is a wasteful number, since it uses less digits than its factorization.

73977000006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30326 (or 30319 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 39.

The spelling of 73977000006 in words is "seventy-three billion, nine hundred seventy-seven million, six", and thus it is an aban number.