73377586656 has 432 divisors, whose sum is σ = 237917481984. Its totient is φ = 21422016000.

The previous prime is 73377586643. The next prime is 73377586691. The reversal of 73377586656 is 65668577337.

It is a junction number, because it is equal to n+sod(n) for n = 73377586593 and 73377586602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116287461 + ... + 116288091.

It is an arithmetic number, because the mean of its divisors is an integer number (550734912).

Almost surely, 2^73377586656 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 73377586656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118958740992).

73377586656 is an abundant number, since it is smaller than the sum of its proper divisors (164539895328).

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

73377586656 is a wasteful number, since it uses less digits than its factorization.

73377586656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 765 counting only the distinct ones).

The product of its digits is 133358400, while the sum is 63.

The spelling of 73377586656 in words is "seventy-three billion, three hundred seventy-seven million, five hundred eighty-six thousand, six hundred fifty-six".