738588461688 has 576 divisors, whose sum is σ = 2628606090240. Its totient is φ = 185068800000.

The previous prime is 738588461671. The next prime is 738588461731. The reversal of 738588461688 is 886164885837.

738588461688 is a `hidden beast` number, since 7 + 3 + 8 + 5 + 88 + 461 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 482421483 + ... + 482423013.

It is an arithmetic number, because the mean of its divisors is an integer number (4563552240).

Almost surely, 2^738588461688 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 738588461688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314303045120).

738588461688 is an abundant number, since it is smaller than the sum of its proper divisors (1890017628552).

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

738588461688 is a wasteful number, since it uses less digits than its factorization.

738588461688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1986 counting only the distinct ones).

The product of its digits is 495452160, while the sum is 72.

The spelling of 738588461688 in words is "seven hundred thirty-eight billion, five hundred eighty-eight million, four hundred sixty-one thousand, six hundred eighty-eight".