73977511680 has 288 divisors, whose sum is σ = 263570529600. Its totient is φ = 19648217088.

The previous prime is 73977511651. The next prime is 73977511681. The reversal of 73977511680 is 8611577937.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73977511681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8877756 + ... + 8886084.

It is an arithmetic number, because the mean of its divisors is an integer number (915175450).

Almost surely, 2^73977511680 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 73977511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131785264800).

73977511680 is an abundant number, since it is smaller than the sum of its proper divisors (189593017920).

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

73977511680 is a wasteful number, since it uses less digits than its factorization.

73977511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8616 (or 8596 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 73977511680 in words is "seventy-three billion, nine hundred seventy-seven million, five hundred eleven thousand, six hundred eighty".