4072423680 has 432 divisors, whose sum is σ = 15427915776. Its totient is φ = 985743360.

The previous prime is 4072423679. The next prime is 4072423697. The reversal of 4072423680 is 863242704.

4072423680 is a `hidden beast` number, since 407 + 242 + 3 + 6 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10632769 + ... + 10633151.

It is an arithmetic number, because the mean of its divisors is an integer number (35712768).

Almost surely, 2^4072423680 is an apocalyptic number.

4072423680 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 4072423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713957888).

4072423680 is an abundant number, since it is smaller than the sum of its proper divisors (11355492096).

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

4072423680 is a wasteful number, since it uses less digits than its factorization.

4072423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 477 counting only the distinct ones).

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

The square root of 4072423680 is about 63815.5441879171. The cubic root of 4072423680 is about 1596.9242578367.

The spelling of 4072423680 in words is "four billion, seventy-two million, four hundred twenty-three thousand, six hundred eighty".