736654464 has 192 divisors, whose sum is σ = 2609355840. Its totient is φ = 194254848.

The previous prime is 736654441. The next prime is 736654469. The reversal of 736654464 is 464456637.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×736654464² = 1085319598662254592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (736654469) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 101319 + ... + 108345.

It is an arithmetic number, because the mean of its divisors is an integer number (13590395).

Almost surely, 2^736654464 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 736654464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304677920).

736654464 is an abundant number, since it is smaller than the sum of its proper divisors (1872701376).

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

736654464 is a wasteful number, since it uses less digits than its factorization.

736654464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7067 (or 7052 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 736654464 is about 27141.3791838219. The cubic root of 736654464 is about 903.1390241537.

The spelling of 736654464 in words is "seven hundred thirty-six million, six hundred fifty-four thousand, four hundred sixty-four".