723824640 has 832 divisors, whose sum is σ = 3396971520. Its totient is φ = 141557760.

The previous prime is 723824639. The next prime is 723824663. The reversal of 723824640 is 46428327.

723824640 is a `hidden beast` number, since 7 + 2 + 3 + 8 + 2 + 4 + 640 = 666.

It is a super-2 number, since 2×723824640² = 1047844218942259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 723824595 and 723824604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42577912 + ... + 42577928.

Almost surely, 2^723824640 is an apocalyptic number.

723824640 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 723824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698485760).

723824640 is an abundant number, since it is smaller than the sum of its proper divisors (2673146880).

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

723824640 is a wasteful number, since it uses less digits than its factorization.

723824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 723824640 is about 26903.9892952699. The cubic root of 723824640 is about 897.8651623017.

It can be divided in two parts, 7238 and 24640, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 723824640 in words is "seven hundred twenty-three million, eight hundred twenty-four thousand, six hundred forty".