66815233315488 has 720 divisors, whose sum is σ = 231598812392640. Its totient is φ = 18839387234304.

The previous prime is 66815233315459. The next prime is 66815233315499. The reversal of 66815233315488 is 88451333251866.

66815233315488 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 5 + 233 + 315 + 4 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4422792031 + ... + 4422807137.

It is an arithmetic number, because the mean of its divisors is an integer number (321665017212).

Almost surely, 2^{66815233315488} 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 66815233315488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115799406196320).

66815233315488 is an abundant number, since it is smaller than the sum of its proper divisors (164783579077152).

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

66815233315488 is a wasteful number, since it uses less digits than its factorization.

66815233315488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15599 (or 15575 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 66815233315488 in words is "sixty-six trillion, eight hundred fifteen billion, two hundred thirty-three million, three hundred fifteen thousand, four hundred eighty-eight".