4020762672 has 160 divisors (see below), whose sum is σ = 12186720000. Its totient is φ = 1265725440.

The previous prime is 4020762671. The next prime is 4020762677. The reversal of 4020762672 is 2762670204.

4020762672 is a `hidden beast` number, since 4 + 0 + 20 + 7 + 626 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4020762671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3684847 + ... + 3685937.

It is an arithmetic number, because the mean of its divisors is an integer number (76167000).

Almost surely, 2^4020762672 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 4020762672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360000).

4020762672 is an abundant number, since it is smaller than the sum of its proper divisors (8165957328).

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

4020762672 is a wasteful number, since it uses less digits than its factorization.

4020762672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4020762672 is about 63409.4840855845. The cubic root of 4020762672 is about 1590.1428707503.

The spelling of 4020762672 in words is "four billion, twenty million, seven hundred sixty-two thousand, six hundred seventy-two".