4537681920 has 288 divisors, whose sum is σ = 16040770200. Its totient is φ = 1185939456.

The previous prime is 4537681903. The next prime is 4537681987. The reversal of 4537681920 is 291867354.

4537681920 is a `hidden beast` number, since 453 + 7 + 6 + 8 + 192 + 0 = 666.

4537681920 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2777711616 + 1759970304 = 52704^2 + 41952^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

4537681920 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4884016 + ... + 4884944.

It is a 1-persistent number, because it is pandigital, but 2⋅4537681920 = 9075363840 is not.

Almost surely, 2^4537681920 is an apocalyptic number.

4537681920 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 4537681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020385100).

4537681920 is an abundant number, since it is smaller than the sum of its proper divisors (11503088280).

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

4537681920 is a wasteful number, since it uses less digits than its factorization.

4537681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4537681920 is about 67362.3182498940. The cubic root of 4537681920 is about 1655.5590788595.

The spelling of 4537681920 in words is "four billion, five hundred thirty-seven million, six hundred eighty-one thousand, nine hundred twenty".