66854652480 has 2240 divisors, whose sum is σ = 327147448320. Its totient is φ = 12541132800.

The previous prime is 66854652467. The next prime is 66854652511. The reversal of 66854652480 is 8425645866.

66854652480 is a `hidden beast` number, since 6 + 6 + 8 + 546 + 52 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1554759339 + ... + 1554759381.

It is an arithmetic number, because the mean of its divisors is an integer number (146047968).

Almost surely, 2^66854652480 is an apocalyptic number.

66854652480 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 66854652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163573724160).

66854652480 is an abundant number, since it is smaller than the sum of its proper divisors (260292795840).

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

66854652480 is a wasteful number, since it uses less digits than its factorization.

66854652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 66854652480 in words is "sixty-six billion, eight hundred fifty-four million, six hundred fifty-two thousand, four hundred eighty".