361648496640 has 448 divisors, whose sum is σ = 1237365787392. Its totient is φ = 89967820800.

The previous prime is 361648496639. The next prime is 361648496701. The reversal of 361648496640 is 46694846163.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115874280 + ... + 115877400.

It is an arithmetic number, because the mean of its divisors is an integer number (2761977204).

Almost surely, 2^361648496640 is an apocalyptic number.

361648496640 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 361648496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618682893696).

361648496640 is an abundant number, since it is smaller than the sum of its proper divisors (875717290752).

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

361648496640 is a wasteful number, since it uses less digits than its factorization.

361648496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 57.

The spelling of 361648496640 in words is "three hundred sixty-one billion, six hundred forty-eight million, four hundred ninety-six thousand, six hundred forty".