66953011970880 has 1344 divisors, whose sum is σ = 276011540513280. Its totient is φ = 14573725286400.

The previous prime is 66953011970821. The next prime is 66953011970891. The reversal of 66953011970880 is 8807911035966.

66953011970880 is a `hidden beast` number, since 6 + 6 + 9 + 530 + 1 + 1 + 97 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15076109460 + ... + 15076113900.

Almost surely, 2^{66953011970880} is an apocalyptic number.

66953011970880 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 66953011970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138005770256640).

66953011970880 is an abundant number, since it is smaller than the sum of its proper divisors (209058528542400).

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

66953011970880 is a wasteful number, since it uses less digits than its factorization.

66953011970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4835 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 66953011970880 in words is "sixty-six trillion, nine hundred fifty-three billion, eleven million, nine hundred seventy thousand, eight hundred eighty".