66989126615040 has 1536 divisors, whose sum is σ = 278638043040000. Its totient is φ = 15225046695936.

The previous prime is 66989126615009. The next prime is 66989126615041. The reversal of 66989126615040 is 4051662198966.

66989126615040 is a `hidden beast` number, since 6 + 6 + 9 + 8 + 9 + 1 + 2 + 6 + 615 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 (66989126615041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43135302904 + ... + 43135304456.

Almost surely, 2^{66989126615040} is an apocalyptic number.

66989126615040 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 66989126615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139319021520000).

66989126615040 is an abundant number, since it is smaller than the sum of its proper divisors (211648916424960).

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

66989126615040 is a wasteful number, since it uses less digits than its factorization.

66989126615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 66989126615040 in words is "sixty-six trillion, nine hundred eighty-nine billion, one hundred twenty-six million, six hundred fifteen thousand, forty".