684771249240 has 896 divisors, whose sum is σ = 2680212628800. Its totient is φ = 155868364800.

The previous prime is 684771249221. The next prime is 684771249241. The reversal of 684771249240 is 42942177486.

684771249240 is a `hidden beast` number, since 6 + 8 + 47 + 71 + 2 + 492 + 40 = 666.

684771249240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684771249241) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 380216340 + ... + 380218140.

Almost surely, 2^684771249240 is an apocalyptic number.

684771249240 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 684771249240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340106314400).

684771249240 is an abundant number, since it is smaller than the sum of its proper divisors (1995441379560).

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

684771249240 is a wasteful number, since it uses less digits than its factorization.

684771249240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 684771249240 in words is "six hundred eighty-four billion, seven hundred seventy-one million, two hundred forty-nine thousand, two hundred forty".