361546980480 has 768 divisors, whose sum is σ = 1535693852160. Its totient is φ = 76494274560.

The previous prime is 361546980469. The next prime is 361546980521. The reversal of 361546980480 is 84089645163.

361546980480 is a `hidden beast` number, since 3 + 6 + 1 + 546 + 98 + 0 + 4 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41807517 + ... + 41816163.

It is an arithmetic number, because the mean of its divisors is an integer number (1999601370).

Almost surely, 2^361546980480 is an apocalyptic number.

361546980480 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 361546980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767846926080).

361546980480 is an abundant number, since it is smaller than the sum of its proper divisors (1174146871680).

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

361546980480 is a wasteful number, since it uses less digits than its factorization.

361546980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8757 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 361546980480 in words is "three hundred sixty-one billion, five hundred forty-six million, nine hundred eighty thousand, four hundred eighty".