66774347896320 has 640 divisors, whose sum is σ = 240389614080000. Its totient is φ = 17566517329920.

The previous prime is 66774347896247. The next prime is 66774347896337. The reversal of 66774347896320 is 2369874347766.

66774347896320 is a `hidden beast` number, since 6 + 6 + 7 + 7 + 43 + 478 + 96 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7639207150 + ... + 7639215890.

It is an arithmetic number, because the mean of its divisors is an integer number (375608772000).

Almost surely, 2^{66774347896320} is an apocalyptic number.

66774347896320 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 66774347896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120194807040000).

66774347896320 is an abundant number, since it is smaller than the sum of its proper divisors (173615266183680).

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

66774347896320 is a wasteful number, since it uses less digits than its factorization.

66774347896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10251 (or 10229 counting only the distinct ones).

The product of its (nonzero) digits is 1536288768, while the sum is 72.

The spelling of 66774347896320 in words is "sixty-six trillion, seven hundred seventy-four billion, three hundred forty-seven million, eight hundred ninety-six thousand, three hundred twenty".