1007918632480 has 96 divisors (see below), whose sum is σ = 2444799345408. Its totient is φ = 392445081600.

The previous prime is 1007918632397. The next prime is 1007918632507. The reversal of 1007918632480 is 842368197001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2732665 + ... + 3079495.

It is an arithmetic number, because the mean of its divisors is an integer number (25466659848).

Almost surely, 2^{1007918632480} is an apocalyptic number.

1007918632480 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 1007918632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222399672704).

1007918632480 is an abundant number, since it is smaller than the sum of its proper divisors (1436880712928).

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

1007918632480 is a wasteful number, since it uses less digits than its factorization.

1007918632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347330 (or 347322 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 1007918632480 in words is "one trillion, seven billion, nine hundred eighteen million, six hundred thirty-two thousand, four hundred eighty".