361796890540800 has 2592 divisors, whose sum is σ = 1474739210649600. Its totient is φ = 77339418624000.

The previous prime is 361796890540763. The next prime is 361796890540801. The reversal of 361796890540800 is 8045098697163.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (361796890540801) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 87411665131 + ... + 87411669269.

It is an arithmetic number, because the mean of its divisors is an integer number (568958028800).

Almost surely, 2^{361796890540800} is an apocalyptic number.

361796890540800 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 361796890540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737369605324800).

361796890540800 is an abundant number, since it is smaller than the sum of its proper divisors (1112942320108800).

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

361796890540800 is a wasteful number, since it uses less digits than its factorization.

361796890540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 361796890540800 in words is "three hundred sixty-one trillion, seven hundred ninety-six billion, eight hundred ninety million, five hundred forty thousand, eight hundred".