609263652547200 has 3072 divisors, whose sum is σ = 2562561699840000. Its totient is φ = 126687736627200.

The previous prime is 609263652547183. The next prime is 609263652547213. The reversal of 609263652547200 is 2745256362906.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 265705909254 + ... + 265705911546.

It is an arithmetic number, because the mean of its divisors is an integer number (834167220000).

Almost surely, 2^{609263652547200} is an apocalyptic number.

609263652547200 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 609263652547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281280849920000).

609263652547200 is an abundant number, since it is smaller than the sum of its proper divisors (1953298047292800).

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

609263652547200 is a wasteful number, since it uses less digits than its factorization.

609263652547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 57.

The spelling of 609263652547200 in words is "six hundred nine trillion, two hundred sixty-three billion, six hundred fifty-two million, five hundred forty-seven thousand, two hundred".