1764868000 has 96 divisors (see below), whose sum is σ = 4955827968. Its totient is φ = 605088000.

The previous prime is 1764867997. The next prime is 1764868009. The reversal of 1764868000 is 8684671.

It is a super-2 number, since 2×1764868000² = 6229518114848000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1764868009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3516 + ... + 59515.

It is an arithmetic number, because the mean of its divisors is an integer number (51623208).

Almost surely, 2^1764868000 is an apocalyptic number.

1764868000 is a gapful number since it is divisible by the number (10) 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 1764868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477913984).

1764868000 is an abundant number, since it is smaller than the sum of its proper divisors (3190959968).

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

1764868000 is an equidigital number, since it uses as much as digits as its factorization.

1764868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63063 (or 63045 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 1764868000 is about 42010.3320624820. The cubic root of 1764868000 is about 1208.4742739550.

The spelling of 1764868000 in words is "one billion, seven hundred sixty-four million, eight hundred sixty-eight thousand".