4277072640 has 288 divisors, whose sum is σ = 14457784320. Its totient is φ = 1075396608.

The previous prime is 4277072629. The next prime is 4277072641. The reversal of 4277072640 is 462707724.

It is not an unprimeable number, because it can be changed into a prime (4277072641) 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, 6976974 + ... + 6977586.

It is an arithmetic number, because the mean of its divisors is an integer number (50200640).

Almost surely, 2^4277072640 is an apocalyptic number.

4277072640 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 4277072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7228892160).

4277072640 is an abundant number, since it is smaller than the sum of its proper divisors (10180711680).

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

4277072640 is a wasteful number, since it uses less digits than its factorization.

4277072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 4277072640 is about 65399.3321066813. The cubic root of 4277072640 is about 1623.2380289803.

The spelling of 4277072640 in words is "four billion, two hundred seventy-seven million, seventy-two thousand, six hundred forty".