677543040 has 384 divisors, whose sum is σ = 2539555200. Its totient is φ = 165888000.

The previous prime is 677543029. The next prime is 677543051. The reversal of 677543040 is 40345776.

677543040 is a `hidden beast` number, since 6 + 77 + 543 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (677543029) and next prime (677543051).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 677542986 and 677543004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4486965 + ... + 4487115.

It is an arithmetic number, because the mean of its divisors is an integer number (6613425).

Almost surely, 2^677543040 is an apocalyptic number.

677543040 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 677543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269777600).

677543040 is an abundant number, since it is smaller than the sum of its proper divisors (1862012160).

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

677543040 is a wasteful number, since it uses less digits than its factorization.

677543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 677543040 is about 26029.6569320458. The cubic root of 677543040 is about 878.3055548571.

The spelling of 677543040 in words is "six hundred seventy-seven million, five hundred forty-three thousand, forty".