66780480 has 112 divisors (see below), whose sum is σ = 228380544. Its totient is φ = 16435200.

The previous prime is 66780463. The next prime is 66780481. The reversal of 66780480 is 8408766.

It is a super-3 number, since 3×66780480³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66780481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9805 + ... + 15155.

It is an arithmetic number, because the mean of its divisors is an integer number (2039112).

Almost surely, 2^66780480 is an apocalyptic number.

66780480 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 66780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114190272).

66780480 is an abundant number, since it is smaller than the sum of its proper divisors (161600064).

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

66780480 is a wasteful number, since it uses less digits than its factorization.

66780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 66780480 is about 8171.9324519969. The cubic root of 66780480 is about 405.7107470809.

The spelling of 66780480 in words is "sixty-six million, seven hundred eighty thousand, four hundred eighty".