688204049040 has 480 divisors, whose sum is σ = 2476497494016. Its totient is φ = 170667786240.

The previous prime is 688204049017. The next prime is 688204049063. The reversal of 688204049040 is 40940402886.

688204049040 is a `hidden beast` number, since 6 + 8 + 82 + 0 + 40 + 490 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (688204049017) and next prime (688204049063).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 455461885 + ... + 455463395.

Almost surely, 2^688204049040 is an apocalyptic number.

688204049040 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 688204049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238248747008).

688204049040 is an abundant number, since it is smaller than the sum of its proper divisors (1788293444976).

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

688204049040 is a wasteful number, since it uses less digits than its factorization.

688204049040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 688204049040 in words is "six hundred eighty-eight billion, two hundred four million, forty-nine thousand, forty".