4692971520 has 624 divisors, whose sum is σ = 18032257152. Its totient is φ = 1167851520.

The previous prime is 4692971509. The next prime is 4692971531. The reversal of 4692971520 is 251792964.

It is an interprime number because it is at equal distance from previous prime (4692971509) and next prime (4692971531).

It is a super-2 number, since 2×4692971520² = 44047963375062220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114462700 + ... + 114462740.

It is an arithmetic number, because the mean of its divisors is an integer number (28897848).

Almost surely, 2^4692971520 is an apocalyptic number.

4692971520 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 4692971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016128576).

4692971520 is an abundant number, since it is smaller than the sum of its proper divisors (13339285632).

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

4692971520 is an equidigital number, since it uses as much as digits as its factorization.

4692971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 4692971520 is about 68505.2663669006. The cubic root of 4692971520 is about 1674.2332892585.

The spelling of 4692971520 in words is "four billion, six hundred ninety-two million, nine hundred seventy-one thousand, five hundred twenty".