677542451040 has 432 divisors, whose sum is σ = 2896497899568. Its totient is φ = 142953818112.

The previous prime is 677542451039. The next prime is 677542451071. The reversal of 677542451040 is 40154245776.

677542451040 is a `hidden beast` number, since 6 + 7 + 75 + 4 + 24 + 510 + 40 = 666.

It is a super-2 number, since 2×677542451040² (a number of 24 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 547959 + ... + 1286601.

It is an arithmetic number, because the mean of its divisors is an integer number (6704856249).

Almost surely, 2^677542451040 is an apocalyptic number.

677542451040 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 677542451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448248949784).

677542451040 is an abundant number, since it is smaller than the sum of its proper divisors (2218955448528).

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

677542451040 is a wasteful number, since it uses less digits than its factorization.

677542451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738691 (or 738673 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 677542451040 in words is "six hundred seventy-seven billion, five hundred forty-two million, four hundred fifty-one thousand, forty".