4377456972 has 96 divisors (see below), whose sum is σ = 13148083200. Its totient is φ = 1233553536.

The previous prime is 4377456971. The next prime is 4377457003. The reversal of 4377456972 is 2796547734.

4377456972 is a `hidden beast` number, since 4 + 3 + 7 + 7 + 4 + 569 + 72 = 666.

It is a super-2 number, since 2×4377456972² = 38324259083422817568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4377456971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15529 + ... + 94847.

It is an arithmetic number, because the mean of its divisors is an integer number (136959200).

Almost surely, 2^4377456972 is an apocalyptic number.

4377456972 is a gapful number since it is divisible by the number (42) 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 4377456972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6574041600).

4377456972 is an abundant number, since it is smaller than the sum of its proper divisors (8770626228).

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

4377456972 is a wasteful number, since it uses less digits than its factorization.

4377456972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79412 (or 79404 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The square root of 4377456972 is about 66162.3531322761. The cubic root of 4377456972 is about 1635.8392661156.

The spelling of 4377456972 in words is "four billion, three hundred seventy-seven million, four hundred fifty-six thousand, nine hundred seventy-two".