66412506240 has 192 divisors, whose sum is σ = 231138984960. Its totient is φ = 17570359296.

The previous prime is 66412506239. The next prime is 66412506247. The reversal of 66412506240 is 4260521466.

66412506240 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 25 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66412506195 and 66412506204.

It is not an unprimeable number, because it can be changed into a prime (66412506247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686127 + ... + 776913.

It is an arithmetic number, because the mean of its divisors is an integer number (1203848880).

Almost surely, 2^66412506240 is an apocalyptic number.

66412506240 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 66412506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115569492480).

66412506240 is an abundant number, since it is smaller than the sum of its proper divisors (164726478720).

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

66412506240 is a wasteful number, since it uses less digits than its factorization.

66412506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90939 (or 90924 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 66412506240 in words is "sixty-six billion, four hundred twelve million, five hundred six thousand, two hundred forty".