653843867040 has 384 divisors, whose sum is σ = 2816559889920. Its totient is φ = 137953787904.

The previous prime is 653843867011. The next prime is 653843867041. The reversal of 653843867040 is 40768348356.

653843867040 is a `hidden beast` number, since 6 + 538 + 4 + 3 + 8 + 67 + 0 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (653843867041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 438489 + ... + 1224728.

It is an arithmetic number, because the mean of its divisors is an integer number (7334791380).

Almost surely, 2^653843867040 is an apocalyptic number.

653843867040 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 653843867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408279944960).

653843867040 is an abundant number, since it is smaller than the sum of its proper divisors (2162716022880).

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

653843867040 is a wasteful number, since it uses less digits than its factorization.

653843867040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663261 (or 1663247 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 653843867040 in words is "six hundred fifty-three billion, eight hundred forty-three million, eight hundred sixty-seven thousand, forty".