768284441538900 has 1152 divisors, whose sum is σ = 2728733349888000. Its totient is φ = 164350771200000.

The previous prime is 768284441538883. The next prime is 768284441538949. The reversal of 768284441538900 is 9835144482867.

It is a super-2 number, since 2×768284441538900² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60309628731 + ... + 60309641469.

It is an arithmetic number, because the mean of its divisors is an integer number (2368692144000).

It is a 1-persistent number, because it is pandigital, but 2⋅768284441538900 = 1536568883077800 is not.

Almost surely, 2^{768284441538900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768284441538900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364366674944000).

768284441538900 is an abundant number, since it is smaller than the sum of its proper divisors (1960448908349100).

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

768284441538900 is a wasteful number, since it uses less digits than its factorization.

768284441538900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13361 (or 13354 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 69.

The spelling of 768284441538900 in words is "seven hundred sixty-eight trillion, two hundred eighty-four billion, four hundred forty-one million, five hundred thirty-eight thousand, nine hundred".