43742754864 has 320 divisors, whose sum is σ = 136062720000. Its totient is φ = 13411215360.

The previous prime is 43742754863. The next prime is 43742754889. The reversal of 43742754864 is 46845724734.

43742754864 is a `hidden beast` number, since 4 + 3 + 74 + 27 + 548 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 43742754864.

It is not an unprimeable number, because it can be changed into a prime (43742754863) 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, 57480244 + ... + 57481004.

It is an arithmetic number, because the mean of its divisors is an integer number (425196000).

Almost surely, 2^43742754864 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 43742754864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68031360000).

43742754864 is an abundant number, since it is smaller than the sum of its proper divisors (92319965136).

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

43742754864 is a wasteful number, since it uses less digits than its factorization.

43742754864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 981 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 54.

The spelling of 43742754864 in words is "forty-three billion, seven hundred forty-two million, seven hundred fifty-four thousand, eight hundred sixty-four".