802401768000 has 3584 divisors, whose sum is σ = 3943887667200. Its totient is φ = 155271168000.

The previous prime is 802401767987. The next prime is 802401768013. The reversal of 802401768000 is 867104208.

802401768000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (802401767987) and next prime (802401768013).

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 511 ways as a sum of consecutive naturals, for example, 15139655974 + ... + 15139656026.

Almost surely, 2^802401768000 is an apocalyptic number.

802401768000 is a gapful number since it is divisible by the number (80) 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 802401768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971943833600).

802401768000 is an abundant number, since it is smaller than the sum of its proper divisors (3141485899200).

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

802401768000 is a wasteful number, since it uses less digits than its factorization.

802401768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 802401768000 in words is "eight hundred two billion, four hundred one million, seven hundred sixty-eight thousand".