361790437680 has 720 divisors, whose sum is σ = 1498314503520. Its totient is φ = 80004879360.

The previous prime is 361790437577. The next prime is 361790437709. The reversal of 361790437680 is 86734097163.

361790437680 is a `hidden beast` number, since 3 + 61 + 7 + 90 + 437 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101710462 + ... + 101714018.

It is an arithmetic number, because the mean of its divisors is an integer number (2080992366).

Almost surely, 2^361790437680 is an apocalyptic number.

361790437680 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 361790437680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749157251760).

361790437680 is an abundant number, since it is smaller than the sum of its proper divisors (1136524065840).

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

361790437680 is a wasteful number, since it uses less digits than its factorization.

361790437680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 361790437680 in words is "three hundred sixty-one billion, seven hundred ninety million, four hundred thirty-seven thousand, six hundred eighty".