688811351040 has 440 divisors, whose sum is σ = 2481134179392. Its totient is φ = 182728949760.

The previous prime is 688811351029. The next prime is 688811351071. The reversal of 688811351040 is 40153118886.

688811351040 is a `hidden beast` number, since 6 + 8 + 8 + 81 + 13 + 510 + 40 = 666.

It is a super-2 number, since 2×688811351040² (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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81695625 + ... + 81704055.

Almost surely, 2^688811351040 is an apocalyptic number.

688811351040 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 688811351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240567089696).

688811351040 is an abundant number, since it is smaller than the sum of its proper divisors (1792322828352).

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

688811351040 is a wasteful number, since it uses less digits than its factorization.

688811351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8665 (or 8638 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 688811351040 in words is "six hundred eighty-eight billion, eight hundred eleven million, three hundred fifty-one thousand, forty".