609913152000 has 800 divisors, whose sum is σ = 2350817417520. Its totient is φ = 156996403200.

The previous prime is 609913151993. The next prime is 609913152019. The reversal of 609913152000 is 251319906.

609913152000 is a `hidden beast` number, since 609 + 9 + 13 + 15 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23696292096 + 586216859904 = 153936^2 + 765648^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150333972 + ... + 150338028.

Almost surely, 2^609913152000 is an apocalyptic number.

609913152000 is a gapful number since it is divisible by the number (60) 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 609913152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175408708760).

609913152000 is an abundant number, since it is smaller than the sum of its proper divisors (1740904265520).

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

609913152000 is an equidigital number, since it uses as much as digits as its factorization.

609913152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 609913152000 in words is "six hundred nine billion, nine hundred thirteen million, one hundred fifty-two thousand".