52434656640 has 768 divisors, whose sum is σ = 199208056320. Its totient is φ = 13152927744.

The previous prime is 52434656627. The next prime is 52434656641. The reversal of 52434656640 is 4665643425.

It is a happy number.

52434656640 is a `hidden beast` number, since 5 + 2 + 4 + 3 + 46 + 566 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52434656641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382734652 + ... + 382734788.

It is an arithmetic number, because the mean of its divisors is an integer number (259385490).

Almost surely, 2^52434656640 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 52434656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99604028160).

52434656640 is an abundant number, since it is smaller than the sum of its proper divisors (146773399680).

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

52434656640 is a wasteful number, since it uses less digits than its factorization.

52434656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 52434656640 in words is "fifty-two billion, four hundred thirty-four million, six hundred fifty-six thousand, six hundred forty".