738042640 has 80 divisors (see below), whose sum is σ = 1779636096. Its totient is φ = 284441600.

The previous prime is 738042619. The next prime is 738042671. The reversal of 738042640 is 46240837.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 738042596 and 738042605.

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, 270885 + ... + 273595.

Almost surely, 2^738042640 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 738042640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889818048).

738042640 is an abundant number, since it is smaller than the sum of its proper divisors (1041593456).

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

738042640 is a wasteful number, since it uses less digits than its factorization.

738042640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 738042640 is about 27166.9402031219. The cubic root of 738042640 is about 903.7059698468.

The spelling of 738042640 in words is "seven hundred thirty-eight million, forty-two thousand, six hundred forty".