738870536448 has 576 divisors, whose sum is σ = 2428907765760. Its totient is φ = 219685478400.

The previous prime is 738870536419. The next prime is 738870536471. The reversal of 738870536448 is 844635078837.

738870536448 is a `hidden beast` number, since 73 + 8 + 8 + 70 + 53 + 6 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1205334990 + ... + 1205335602.

It is an arithmetic number, because the mean of its divisors is an integer number (4216853760).

Almost surely, 2^738870536448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738870536448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214453882880).

738870536448 is an abundant number, since it is smaller than the sum of its proper divisors (1690037229312).

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

738870536448 is a wasteful number, since it uses less digits than its factorization.

738870536448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 738870536448 in words is "seven hundred thirty-eight billion, eight hundred seventy million, five hundred thirty-six thousand, four hundred forty-eight".