678284477640 has 2880 divisors, whose sum is σ = 3233596101120. Its totient is φ = 126456422400.

The previous prime is 678284477587. The next prime is 678284477653. The reversal of 678284477640 is 46774482876.

678284477640 is a `hidden beast` number, since 6 + 7 + 82 + 8 + 447 + 76 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 10123648887 + ... + 10123648953.

It is an arithmetic number, because the mean of its divisors is an integer number (1122776424).

Almost surely, 2^678284477640 is an apocalyptic number.

678284477640 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 678284477640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616798050560).

678284477640 is an abundant number, since it is smaller than the sum of its proper divisors (2555311623480).

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

678284477640 is a wasteful number, since it uses less digits than its factorization.

678284477640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 678284477640 in words is "six hundred seventy-eight billion, two hundred eighty-four million, four hundred seventy-seven thousand, six hundred forty".