739616640 has 256 divisors, whose sum is σ = 2723742720. Its totient is φ = 167215104.

The previous prime is 739616627. The next prime is 739616653. The reversal of 739616640 is 46616937.

It is an interprime number because it is at equal distance from previous prime (739616627) and next prime (739616653).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 739616592 and 739616601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1518477 + ... + 1518963.

It is an arithmetic number, because the mean of its divisors is an integer number (10639620).

Almost surely, 2^739616640 is an apocalyptic number.

739616640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 739616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361871360).

739616640 is an abundant number, since it is smaller than the sum of its proper divisors (1984126080).

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

739616640 is a wasteful number, since it uses less digits than its factorization.

739616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 739616640 is about 27195.8938077056. The cubic root of 739616640 is about 904.3479486536.

It can be divided in two parts, 73961 and 6640, that added together give a triangular number (80601 = T₄₀₁).

The spelling of 739616640 in words is "seven hundred thirty-nine million, six hundred sixteen thousand, six hundred forty".