678523202640 has 120 divisors (see below), whose sum is σ = 2279420599560. Its totient is φ = 180882865152.

The previous prime is 678523202629. The next prime is 678523202677. The reversal of 678523202640 is 46202325876.

678523202640 is a `hidden beast` number, since 67 + 8 + 5 + 2 + 320 + 264 + 0 = 666.

678523202640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14663272464 + 663859930176 = 121092^2 + 814776^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2178954 + ... + 2470806.

It is an arithmetic number, because the mean of its divisors is an integer number (18995171663).

Almost surely, 2^678523202640 is an apocalyptic number.

678523202640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

678523202640 is an abundant number, since it is smaller than the sum of its proper divisors (1600897396920).

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

678523202640 is a wasteful number, since it uses less digits than its factorization.

678523202640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295101 (or 295092 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 678523202640 in words is "six hundred seventy-eight billion, five hundred twenty-three million, two hundred two thousand, six hundred forty".