739827648 has 224 divisors, whose sum is σ = 2567147520. Its totient is φ = 204456960.

The previous prime is 739827623. The next prime is 739827659. The reversal of 739827648 is 846728937.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4064256) is a multiple of the sum of its prime divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 739827594 and 739827603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373990 + ... + 375962.

It is an arithmetic number, because the mean of its divisors is an integer number (11460480).

Almost surely, 2^739827648 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 739827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283573760).

739827648 is an abundant number, since it is smaller than the sum of its proper divisors (1827319872).

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

739827648 is a wasteful number, since it uses less digits than its factorization.

739827648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2016 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 739827648 is about 27199.7729402287. The cubic root of 739827648 is about 904.4339420802.

The spelling of 739827648 in words is "seven hundred thirty-nine million, eight hundred twenty-seven thousand, six hundred forty-eight".