202644604378464 has 192 divisors, whose sum is σ = 577088651321280. Its totient is φ = 62011438202880.

The previous prime is 202644604378459. The next prime is 202644604378499. The reversal of 202644604378464 is 464873406446202.

202644604378464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202644604378398 and 202644604378407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328162542 + ... + 328779474.

It is an arithmetic number, because the mean of its divisors is an integer number (3005670058965).

Almost surely, 2^{202644604378464} is an apocalyptic number.

202644604378464 is a gapful number since it is divisible by the number (24) 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 202644604378464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288544325660640).

202644604378464 is an abundant number, since it is smaller than the sum of its proper divisors (374444046942816).

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

202644604378464 is a wasteful number, since it uses less digits than its factorization.

202644604378464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621913 (or 621905 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 60.

The spelling of 202644604378464 in words is "two hundred two trillion, six hundred forty-four billion, six hundred four million, three hundred seventy-eight thousand, four hundred sixty-four".