102073369766400 has 360 divisors, whose sum is σ = 365319344538720. Its totient is φ = 27217558609920.

The previous prime is 102073369766359. The next prime is 102073369766447. The reversal of 102073369766400 is 4667963370201.

It is a happy number.

102073369766400 is a `hidden beast` number, since 1 + 0 + 20 + 73 + 3 + 6 + 97 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2214005749 + ... + 2214051851.

It is an arithmetic number, because the mean of its divisors is an integer number (1014775957052).

Almost surely, 2^{102073369766400} is an apocalyptic number.

102073369766400 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 102073369766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182659672269360).

102073369766400 is an abundant number, since it is smaller than the sum of its proper divisors (263245974772320).

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

102073369766400 is a wasteful number, since it uses less digits than its factorization.

102073369766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65356 (or 65332 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 102073369766400 in words is "one hundred two trillion, seventy-three billion, three hundred sixty-nine million, seven hundred sixty-six thousand, four hundred".