4072624920 has 640 divisors, whose sum is σ = 17758540800. Its totient is φ = 812934144.

The previous prime is 4072624903. The next prime is 4072624937. The reversal of 4072624920 is 294262704.

4072624920 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 624 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4072624903) and next prime (4072624937).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5601597 + ... + 5602323.

It is an arithmetic number, because the mean of its divisors is an integer number (27747720).

Almost surely, 2^4072624920 is an apocalyptic number.

4072624920 is a gapful number since it is divisible by the number (40) 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 4072624920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8879270400).

4072624920 is an abundant number, since it is smaller than the sum of its proper divisors (13685915880).

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

4072624920 is a wasteful number, since it uses less digits than its factorization.

4072624920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4072624920 is about 63817.1209002725. The cubic root of 4072624920 is about 1596.9505615622.

The spelling of 4072624920 in words is "four billion, seventy-two million, six hundred twenty-four thousand, nine hundred twenty".