361067842560 has 528 divisors, whose sum is σ = 1215895008096. Its totient is φ = 91422720000.

The previous prime is 361067842523. The next prime is 361067842571. The reversal of 361067842560 is 65248760163.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 900418360 + ... + 900418760.

Almost surely, 2^361067842560 is an apocalyptic number.

361067842560 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 361067842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607947504048).

361067842560 is an abundant number, since it is smaller than the sum of its proper divisors (854827165536).

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

361067842560 is a wasteful number, since it uses less digits than its factorization.

361067842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 361067842560 in words is "three hundred sixty-one billion, sixty-seven million, eight hundred forty-two thousand, five hundred sixty".