1007964000000 has 1512 divisors, whose sum is σ = 4054254042384. Its totient is φ = 248832000000.

The previous prime is 1007963999947. The next prime is 1007964000011. The reversal of 1007964000000 is 4697001.

1007964000000 is a `hidden beast` number, since 10 + 0 + 7 + 9 + 640 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 16523999970 + ... + 16524000030.

Almost surely, 2^{1007964000000} is an apocalyptic number.

1007964000000 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 1007964000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027127021192).

1007964000000 is an abundant number, since it is smaller than the sum of its proper divisors (3046290042384).

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

1007964000000 is an frugal number, since it uses more digits than its factorization.

1007964000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 1007964000000 its reverse (4697001), we get a palindrome (1007968697001).

The spelling of 1007964000000 in words is "one trillion, seven billion, nine hundred sixty-four million", and thus it is an aban number.