677652480 has 480 divisors, whose sum is σ = 2616213600. Its totient is φ = 167215104.

The previous prime is 677652413. The next prime is 677652509. The reversal of 677652480 is 84256776.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15759339 + ... + 15759381.

It is an arithmetic number, because the mean of its divisors is an integer number (5450445).

Almost surely, 2^677652480 is an apocalyptic number.

677652480 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 677652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308106800).

677652480 is an abundant number, since it is smaller than the sum of its proper divisors (1938561120).

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

677652480 is a wasteful number, since it uses less digits than its factorization.

677652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 677652480 is about 26031.7590646502. The cubic root of 677652480 is about 878.3528416858.

The spelling of 677652480 in words is "six hundred seventy-seven million, six hundred fifty-two thousand, four hundred eighty".