4270976640 has 1024 divisors, whose sum is σ = 19176652800. Its totient is φ = 875888640.

The previous prime is 4270976627. The next prime is 4270976641. The reversal of 4270976640 is 466790724.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4270976641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63745887 + ... + 63745953.

It is an arithmetic number, because the mean of its divisors is an integer number (18727200).

Almost surely, 2^4270976640 is an apocalyptic number.

4270976640 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 4270976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9588326400).

4270976640 is an abundant number, since it is smaller than the sum of its proper divisors (14905676160).

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

4270976640 is a wasteful number, since it uses less digits than its factorization.

4270976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4270976640 is about 65352.7095077167. The cubic root of 4270976640 is about 1622.4664760409.

The spelling of 4270976640 in words is "four billion, two hundred seventy million, nine hundred seventy-six thousand, six hundred forty".