153640942080 has 640 divisors, whose sum is σ = 537747724800. Its totient is φ = 37302042624.

The previous prime is 153640942073. The next prime is 153640942093. The reversal of 153640942080 is 80249046351.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 455907672 + ... + 455908008.

It is an arithmetic number, because the mean of its divisors is an integer number (840230820).

Almost surely, 2^153640942080 is an apocalyptic number.

153640942080 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 153640942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268873862400).

153640942080 is an abundant number, since it is smaller than the sum of its proper divisors (384106782720).

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

153640942080 is a wasteful number, since it uses less digits than its factorization.

153640942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 153640942080 in words is "one hundred fifty-three billion, six hundred forty million, nine hundred forty-two thousand, eighty".