1001876480640 has 896 divisors, whose sum is σ = 4215455118720. Its totient is φ = 222784266240.

The previous prime is 1001876480599. The next prime is 1001876480687. The reversal of 1001876480640 is 460846781001.

1001876480640 is a `hidden beast` number, since 100 + 1 + 8 + 7 + 6 + 480 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 120834895 + ... + 120843185.

Almost surely, 2^{1001876480640} is an apocalyptic number.

1001876480640 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 1001876480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107727559360).

1001876480640 is an abundant number, since it is smaller than the sum of its proper divisors (3213578638080).

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

1001876480640 is an frugal number, since it uses more digits than its factorization.

1001876480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8372 (or 8345 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1001876480640 in words is "one trillion, one billion, eight hundred seventy-six million, four hundred eighty thousand, six hundred forty".