66970035643392 has 2112 divisors, whose sum is σ = 252896795136000. Its totient is φ = 17084712222720.

The previous prime is 66970035643373. The next prime is 66970035643393. The reversal of 66970035643392 is 29334653007966.

It is a happy number.

66970035643392 is a `hidden beast` number, since 6 + 69 + 7 + 0 + 0 + 3 + 56 + 433 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (66970035643393) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186546060109 + ... + 186546060467.

Almost surely, 2^{66970035643392} is an apocalyptic number.

66970035643392 is a gapful number since it is divisible by the number (62) 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 66970035643392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126448397568000).

66970035643392 is an abundant number, since it is smaller than the sum of its proper divisors (185926759492608).

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

66970035643392 is a wasteful number, since it uses less digits than its factorization.

66970035643392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 63.

The spelling of 66970035643392 in words is "sixty-six trillion, nine hundred seventy billion, thirty-five million, six hundred forty-three thousand, three hundred ninety-two".