361609297920 has 800 divisors, whose sum is σ = 1406818551600. Its totient is φ = 88332042240.

The previous prime is 361609297877. The next prime is 361609297921. The reversal of 361609297920 is 29792906163.

361609297920 is a `hidden beast` number, since 3 + 6 + 1 + 609 + 2 + 9 + 7 + 9 + 20 = 666.

It is a super-2 number, since 2×361609297920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361609297921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2760376255 + ... + 2760376385.

Almost surely, 2^361609297920 is an apocalyptic number.

361609297920 is a gapful number since it is divisible by the number (30) 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 361609297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703409275800).

361609297920 is an abundant number, since it is smaller than the sum of its proper divisors (1045209253680).

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

361609297920 is an frugal number, since it uses more digits than its factorization.

361609297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 361609297920 in words is "three hundred sixty-one billion, six hundred nine million, two hundred ninety-seven thousand, nine hundred twenty".