1006007602080 has 384 divisors, whose sum is σ = 3564189941760. Its totient is φ = 236658216960.

The previous prime is 1006007602069. The next prime is 1006007602097. The reversal of 1006007602080 is 802067006001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216856401 + ... + 216861039.

It is an arithmetic number, because the mean of its divisors is an integer number (9281744640).

Almost surely, 2^{1006007602080} is an apocalyptic number.

1006007602080 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 1006007602080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782094970880).

1006007602080 is an abundant number, since it is smaller than the sum of its proper divisors (2558182339680).

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

1006007602080 is a wasteful number, since it uses less digits than its factorization.

1006007602080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6204 (or 6196 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 1006007602080 in words is "one trillion, six billion, seven million, six hundred two thousand, eighty".