66267901440 has 1200 divisors, whose sum is σ = 269652848256. Its totient is φ = 15527116800.

The previous prime is 66267901429. The next prime is 66267901451. The reversal of 66267901440 is 4410976266.

66267901440 is a `hidden beast` number, since 6 + 62 + 67 + 90 + 1 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (66267901429) and next prime (66267901451).

It is a super-2 number, since 2×66267901440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1086359010 + ... + 1086359070.

Almost surely, 2^66267901440 is an apocalyptic number.

66267901440 is a gapful number since it is divisible by the number (60) 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 66267901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134826424128).

66267901440 is an abundant number, since it is smaller than the sum of its proper divisors (203384946816).

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

66267901440 is a wasteful number, since it uses less digits than its factorization.

66267901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 66267901440 in words is "sixty-six billion, two hundred sixty-seven million, nine hundred one thousand, four hundred forty".