5364734135040 has 1728 divisors, whose sum is σ = 23215339929600. Its totient is φ = 1116160819200.

The previous prime is 5364734135003. The next prime is 5364734135099. The reversal of 5364734135040 is 405314374635.

5364734135040 is a `hidden beast` number, since 5 + 3 + 6 + 473 + 4 + 135 + 0 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8501955525 + ... + 8501956155.

It is an arithmetic number, because the mean of its divisors is an integer number (13434803200).

Almost surely, 2^{5364734135040} 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 5364734135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11607669964800).

5364734135040 is an abundant number, since it is smaller than the sum of its proper divisors (17850605794560).

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

5364734135040 is a wasteful number, since it uses less digits than its factorization.

5364734135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 5364734135040 in words is "five trillion, three hundred sixty-four billion, seven hundred thirty-four million, one hundred thirty-five thousand, forty".