361461033584640 has 3072 divisors, whose sum is σ = 1492359502233600. Its totient is φ = 82169502105600.

The previous prime is 361461033584639. The next prime is 361461033584647. The reversal of 361461033584640 is 46485330164163.

361461033584640 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 6 + 10 + 3 + 3 + 584 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is not an unprimeable number, because it can be changed into a prime (361461033584647) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 660806276847 + ... + 660806277393.

It is an arithmetic number, because the mean of its divisors is an integer number (485794108800).

Almost surely, 2^{361461033584640} is an apocalyptic number.

361461033584640 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 361461033584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746179751116800).

361461033584640 is an abundant number, since it is smaller than the sum of its proper divisors (1130898468648960).

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

361461033584640 is a wasteful number, since it uses less digits than its factorization.

361461033584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 361461033584640 in words is "three hundred sixty-one trillion, four hundred sixty-one billion, thirty-three million, five hundred eighty-four thousand, six hundred forty".