369782006989824 has 2112 divisors, whose sum is σ = 1331551501136640. Its totient is φ = 100657122508800.

The previous prime is 369782006989799. The next prime is 369782006989847. The reversal of 369782006989824 is 428989600287963.

369782006989824 is a `hidden beast` number, since 369 + 7 + 82 + 0 + 0 + 6 + 98 + 98 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 315783096759 + ... + 315783097929.

Almost surely, 2^{369782006989824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369782006989824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665775750568320).

369782006989824 is an abundant number, since it is smaller than the sum of its proper divisors (961769494146816).

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

369782006989824 is a wasteful number, since it uses less digits than its factorization.

369782006989824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

The spelling of 369782006989824 in words is "three hundred sixty-nine trillion, seven hundred eighty-two billion, six million, nine hundred eighty-nine thousand, eight hundred twenty-four".