738940016640 has 192 divisors, whose sum is σ = 2701750222080. Its totient is φ = 168900526080.

The previous prime is 738940016629. The next prime is 738940016741. The reversal of 738940016640 is 46610049837.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 738940016640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1503106 + ... + 1933185.

It is an arithmetic number, because the mean of its divisors is an integer number (14071615740).

Almost surely, 2^738940016640 is an apocalyptic number.

738940016640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

738940016640 is an abundant number, since it is smaller than the sum of its proper divisors (1962810205440).

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

738940016640 is a wasteful number, since it uses less digits than its factorization.

738940016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436328 (or 3436308 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 738940016640 in words is "seven hundred thirty-eight billion, nine hundred forty million, sixteen thousand, six hundred forty".