361534544640 has 1152 divisors, whose sum is σ = 1407585392640. Its totient is φ = 88624005120.

The previous prime is 361534544603. The next prime is 361534544653. The reversal of 361534544640 is 46445435163.

361534544640 is a `hidden beast` number, since 3 + 6 + 1 + 534 + 54 + 4 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×361534544640³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3378827467 + ... + 3378827573.

It is an arithmetic number, because the mean of its divisors is an integer number (1221862320).

Almost surely, 2^361534544640 is an apocalyptic number.

361534544640 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 361534544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703792696320).

361534544640 is an abundant number, since it is smaller than the sum of its proper divisors (1046050848000).

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

361534544640 is an equidigital number, since it uses as much as digits as its factorization.

361534544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 361534544640 in words is "three hundred sixty-one billion, five hundred thirty-four million, five hundred forty-four thousand, six hundred forty".