361278489600 has 792 divisors, whose sum is σ = 1543467149280. Its totient is φ = 82570199040.

The previous prime is 361278489493. The next prime is 361278489617. The reversal of 361278489600 is 6984872163.

361278489600 is a `hidden beast` number, since 3 + 6 + 1 + 27 + 8 + 4 + 8 + 9 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33863467 + ... + 33874133.

Almost surely, 2^361278489600 is an apocalyptic number.

361278489600 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 361278489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771733574640).

361278489600 is an abundant number, since it is smaller than the sum of its proper divisors (1182188659680).

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

361278489600 is a wasteful number, since it uses less digits than its factorization.

361278489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10720 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 361278489600 in words is "three hundred sixty-one billion, two hundred seventy-eight million, four hundred eighty-nine thousand, six hundred".