153534668732640 has 4608 divisors, whose sum is σ = 703005740236800. Its totient is φ = 31169373143040.

The previous prime is 153534668732611. The next prime is 153534668732681. The reversal of 153534668732640 is 46237866435351.

153534668732640 is a `hidden beast` number, since 1 + 5 + 3 + 5 + 3 + 466 + 87 + 32 + 64 + 0 = 666.

153534668732640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 116402325901 + ... + 116402327219.

It is an arithmetic number, because the mean of its divisors is an integer number (152562009600).

Almost surely, 2^{153534668732640} is an apocalyptic number.

153534668732640 is a gapful number since it is divisible by the number (10) 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 153534668732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351502870118400).

153534668732640 is an abundant number, since it is smaller than the sum of its proper divisors (549471071504160).

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

153534668732640 is a wasteful number, since it uses less digits than its factorization.

153534668732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 153534668732640 in words is "one hundred fifty-three trillion, five hundred thirty-four billion, six hundred sixty-eight million, seven hundred thirty-two thousand, six hundred forty".