1007002543680 has 504 divisors, whose sum is σ = 4050152221752. Its totient is φ = 228973215744.

The previous prime is 1007002543669. The next prime is 1007002543717. The reversal of 1007002543680 is 863452007001.

1007002543680 is a `hidden beast` number, since 100 + 7 + 0 + 0 + 2 + 543 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 399680064 + 1006602863616 = 19992^2 + 1003296^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×1007002543680³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27217674 + ... + 27254646.

It is an arithmetic number, because the mean of its divisors is an integer number (8036016313).

Almost surely, 2^{1007002543680} is an apocalyptic number.

1007002543680 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 1007002543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025076110876).

1007002543680 is an abundant number, since it is smaller than the sum of its proper divisors (3043149678072).

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

1007002543680 is a wasteful number, since it uses less digits than its factorization.

1007002543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37203 (or 37183 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1007002543680 in words is "one trillion, seven billion, two million, five hundred forty-three thousand, six hundred eighty".