4654540800 has 1152 divisors, whose sum is σ = 21611116800. Its totient is φ = 955514880.

The previous prime is 4654540771. The next prime is 4654540811. The reversal of 4654540800 is 80454564.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125798382 + ... + 125798418.

It is an arithmetic number, because the mean of its divisors is an integer number (18759650).

Almost surely, 2^4654540800 is an apocalyptic number.

4654540800 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 4654540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805558400).

4654540800 is an abundant number, since it is smaller than the sum of its proper divisors (16956576000).

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

4654540800 is a wasteful number, since it uses less digits than its factorization.

4654540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4654540800 is about 68224.1951216722. The cubic root of 4654540800 is about 1669.6506613880.

4654540800 divided by its product of nonzero digits (76800) gives a palindrome (60606).

The spelling of 4654540800 in words is "four billion, six hundred fifty-four million, five hundred forty thousand, eight hundred".