677559390480 has 320 divisors, whose sum is σ = 2670786439680. Its totient is φ = 154663520256.

The previous prime is 677559390457. The next prime is 677559390511. The reversal of 677559390480 is 84093955776.

677559390480 is a `hidden beast` number, since 6 + 7 + 7 + 559 + 39 + 0 + 48 + 0 = 666.

It is a super-2 number, since 2×677559390480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11416242 + ... + 11475438.

It is an arithmetic number, because the mean of its divisors is an integer number (8346207624).

Almost surely, 2^677559390480 is an apocalyptic number.

677559390480 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 677559390480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335393219840).

677559390480 is an abundant number, since it is smaller than the sum of its proper divisors (1993227049200).

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

677559390480 is a wasteful number, since it uses less digits than its factorization.

677559390480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59983 (or 59971 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 677559390480 in words is "six hundred seventy-seven billion, five hundred fifty-nine million, three hundred ninety thousand, four hundred eighty".