736677864 has 192 divisors, whose sum is σ = 2312331840. Its totient is φ = 209848320.

The previous prime is 736677863. The next prime is 736677869. The reversal of 736677864 is 468776637.

It is a self number, because there is not a number n which added to its sum of digits gives 736677864.

It is not an unprimeable number, because it can be changed into a prime (736677863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1065759 + ... + 1066449.

It is an arithmetic number, because the mean of its divisors is an integer number (12043395).

Almost surely, 2^736677864 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 736677864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156165920).

736677864 is an abundant number, since it is smaller than the sum of its proper divisors (1575653976).

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

736677864 is a wasteful number, since it uses less digits than its factorization.

736677864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 793 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 54.

The square root of 736677864 is about 27141.8102565028. The cubic root of 736677864 is about 903.1485868594.

The spelling of 736677864 in words is "seven hundred thirty-six million, six hundred seventy-seven thousand, eight hundred sixty-four".