1007899490304 has 1536 divisors, whose sum is σ = 3837354393600. Its totient is φ = 257989017600.

The previous prime is 1007899490291. The next prime is 1007899490317. The reversal of 1007899490304 is 4030949987001.

1007899490304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1007899490291) and next prime (1007899490317).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1007899490304² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16522942434 + ... + 16522942494.

It is an arithmetic number, because the mean of its divisors is an integer number (2498277600).

Almost surely, 2^{1007899490304} is an apocalyptic number.

1007899490304 is a gapful number since it is divisible by the number (14) 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 1007899490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918677196800).

1007899490304 is an abundant number, since it is smaller than the sum of its proper divisors (2829454903296).

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

1007899490304 is an frugal number, since it uses more digits than its factorization.

1007899490304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1007899490304 in words is "one trillion, seven billion, eight hundred ninety-nine million, four hundred ninety thousand, three hundred four".