66740437542240 has 2880 divisors, whose sum is σ = 317366695356480. Its totient is φ = 13016023695360.

The previous prime is 66740437542221. The next prime is 66740437542271. The reversal of 66740437542240 is 4224573404766.

66740437542240 is a `hidden beast` number, since 6 + 6 + 7 + 40 + 4 + 37 + 542 + 24 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 66145130856 + ... + 66145131864.

It is an arithmetic number, because the mean of its divisors is an integer number (110196769221).

Almost surely, 2^{66740437542240} is an apocalyptic number.

66740437542240 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 66740437542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158683347678240).

66740437542240 is an abundant number, since it is smaller than the sum of its proper divisors (250626257814240).

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

66740437542240 is a wasteful number, since it uses less digits than its factorization.

66740437542240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 54.

The spelling of 66740437542240 in words is "sixty-six trillion, seven hundred forty billion, four hundred thirty-seven million, five hundred forty-two thousand, two hundred forty".