4672462080 has 576 divisors, whose sum is σ = 17933303808. Its totient is φ = 1021870080.

The previous prime is 4672462063. The next prime is 4672462097. The reversal of 4672462080 is 802642764.

It is an interprime number because it is at equal distance from previous prime (4672462063) and next prime (4672462097).

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36790977 + ... + 36791103.

It is an arithmetic number, because the mean of its divisors is an integer number (31134208).

Almost surely, 2^4672462080 is an apocalyptic number.

4672462080 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 4672462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8966651904).

4672462080 is an abundant number, since it is smaller than the sum of its proper divisors (13260841728).

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

4672462080 is a wasteful number, since it uses less digits than its factorization.

4672462080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 4672462080 is about 68355.4100272978. The cubic root of 4672462080 is about 1671.7907905785.

The spelling of 4672462080 in words is "four billion, six hundred seventy-two million, four hundred sixty-two thousand, eighty".