4072465376 has 96 divisors (see below), whose sum is σ = 9584386560. Its totient is φ = 1665455616.

The previous prime is 4072465367. The next prime is 4072465387. The reversal of 4072465376 is 6735642704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3188450 + ... + 3189726.

It is an arithmetic number, because the mean of its divisors is an integer number (99837360).

Almost surely, 2^4072465376 is an apocalyptic number.

4072465376 is a gapful number since it is divisible by the number (46) 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 4072465376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792193280).

4072465376 is an abundant number, since it is smaller than the sum of its proper divisors (5511921184).

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

4072465376 is a wasteful number, since it uses less digits than its factorization.

4072465376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 44.

The square root of 4072465376 is about 63815.8708786459. The cubic root of 4072465376 is about 1596.9297079185.

The spelling of 4072465376 in words is "four billion, seventy-two million, four hundred sixty-five thousand, three hundred seventy-six".