66777480 has 384 divisors, whose sum is σ = 283449600. Its totient is φ = 13685760.

The previous prime is 66777461. The next prime is 66777497. The reversal of 66777480 is 8477766.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 914724 + ... + 914796.

It is an arithmetic number, because the mean of its divisors is an integer number (738150).

Almost surely, 2^66777480 is an apocalyptic number.

66777480 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 66777480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141724800).

66777480 is an abundant number, since it is smaller than the sum of its proper divisors (216672120).

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

66777480 is a wasteful number, since it uses less digits than its factorization.

66777480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 66777480 is about 8171.7488948205. The cubic root of 66777480 is about 405.7046717005.

The spelling of 66777480 in words is "sixty-six million, seven hundred seventy-seven thousand, four hundred eighty".