736798464 has 288 divisors, whose sum is σ = 2323946240. Its totient is φ = 229920768.

The previous prime is 736798451. The next prime is 736798487. The reversal of 736798464 is 464897637.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 736798464.

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, 10996959 + ... + 10997025.

Almost surely, 2^736798464 is an apocalyptic number.

736798464 is a gapful number since it is divisible by the number (74) 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 736798464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161973120).

736798464 is an abundant number, since it is smaller than the sum of its proper divisors (1587147776).

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

736798464 is a wasteful number, since it uses less digits than its factorization.

736798464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 736798464 is about 27144.0318302201. The cubic root of 736798464 is about 903.1978683621.

The spelling of 736798464 in words is "seven hundred thirty-six million, seven hundred ninety-eight thousand, four hundred sixty-four".