53643709440 has 792 divisors, whose sum is σ = 207570909312. Its totient is φ = 12751994880.

The previous prime is 53643709429. The next prime is 53643709447. The reversal of 53643709440 is 4490734635.

53643709440 is a `hidden beast` number, since 536 + 4 + 3 + 70 + 9 + 4 + 40 = 666.

It is a super-2 number, since 2×53643709440² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (53643709447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1141355497 + ... + 1141355543.

Almost surely, 2^53643709440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53643709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103785454656).

53643709440 is an abundant number, since it is smaller than the sum of its proper divisors (153927199872).

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

53643709440 is a wasteful number, since it uses less digits than its factorization.

53643709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 53643709440 in words is "fifty-three billion, six hundred forty-three million, seven hundred nine thousand, four hundred forty".