1007820103680 has 336 divisors, whose sum is σ = 3762316630800. Its totient is φ = 248077615104.

The previous prime is 1007820103679. The next prime is 1007820103681. The reversal of 1007820103680 is 863010287001.

It is an interprime number because it is at equal distance from previous prime (1007820103679) and next prime (1007820103681).

It is a super-2 number, since 2×1007820103680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007820103681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4687171 + ... + 4897469.

It is an arithmetic number, because the mean of its divisors is an integer number (11197370925).

Almost surely, 2^{1007820103680} is an apocalyptic number.

1007820103680 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 1007820103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881158315400).

1007820103680 is an abundant number, since it is smaller than the sum of its proper divisors (2754496527120).

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

1007820103680 is a wasteful number, since it uses less digits than its factorization.

1007820103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210349 (or 210322 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1007820103680 in words is "one trillion, seven billion, eight hundred twenty million, one hundred three thousand, six hundred eighty".