1082349764640 has 384 divisors, whose sum is σ = 3808289157120. Its totient is φ = 287102721024.

The previous prime is 1082349764623. The next prime is 1082349764641. The reversal of 1082349764640 is 464679432801.

1082349764640 is a `hidden beast` number, since 1 + 0 + 82 + 34 + 9 + 76 + 464 + 0 = 666.

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 (1082349764641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 930652699 + ... + 930653861.

It is an arithmetic number, because the mean of its divisors is an integer number (9917419680).

Almost surely, 2^{1082349764640} is an apocalyptic number.

1082349764640 is a gapful number since it is divisible by the number (10) 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 1082349764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904144578560).

1082349764640 is an abundant number, since it is smaller than the sum of its proper divisors (2725939392480).

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

1082349764640 is a wasteful number, since it uses less digits than its factorization.

1082349764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1082349764640 in words is "one trillion, eighty-two billion, three hundred forty-nine million, seven hundred sixty-four thousand, six hundred forty".