66967617024 has 800 divisors, whose sum is σ = 253729403136. Its totient is φ = 17079828480.

The previous prime is 66967617019. The next prime is 66967617043. The reversal of 66967617024 is 42071676966.

66967617024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 213953892 + ... + 213954204.

Almost surely, 2^66967617024 is an apocalyptic number.

66967617024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66967617024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126864701568).

66967617024 is an abundant number, since it is smaller than the sum of its proper divisors (186761786112).

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

66967617024 is a wasteful number, since it uses less digits than its factorization.

66967617024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 66967617024 in words is "sixty-six billion, nine hundred sixty-seven million, six hundred seventeen thousand, twenty-four".