739648000000 has 728 divisors, whose sum is σ = 2293450643456. Its totient is φ = 232243200000.

The previous prime is 739647999991. The next prime is 739648000027. The reversal of 739648000000 is 846937.

It is a tau number, because it is divible by the number of its divisors (728).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 739648000000 = 960³ + 9040³ = 2200³ + 9000³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5823999937 + ... + 5824000063.

Almost surely, 2^739648000000 is an apocalyptic number.

739648000000 is a gapful number since it is divisible by the number (70) 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 739648000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146725321728).

739648000000 is an abundant number, since it is smaller than the sum of its proper divisors (1553802643456).

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

739648000000 is an frugal number, since it uses more digits than its factorization.

739648000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

Adding to 739648000000 its reverse (846937), we get a palindrome (739648846937).

The spelling of 739648000000 in words is "seven hundred thirty-nine billion, six hundred forty-eight million", and thus it is an aban number.