499401600768 has 576 divisors, whose sum is σ = 1757727498240. Its totient is φ = 136890777600.

The previous prime is 499401600751. The next prime is 499401600769. The reversal of 499401600768 is 867006104994.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499401600769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121006321 + ... + 121010447.

It is an arithmetic number, because the mean of its divisors is an integer number (3051610240).

Almost surely, 2^499401600768 is an apocalyptic number.

499401600768 is a gapful number since it is divisible by the number (48) 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 499401600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878863749120).

499401600768 is an abundant number, since it is smaller than the sum of its proper divisors (1258325897472).

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

499401600768 is a wasteful number, since it uses less digits than its factorization.

499401600768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 499401600768 in words is "four hundred ninety-nine billion, four hundred one million, six hundred thousand, seven hundred sixty-eight".