652734482400 has 2880 divisors, whose sum is σ = 3315792775680. Its totient is φ = 120534220800.

The previous prime is 652734482383. The next prime is 652734482447. The reversal of 652734482400 is 4284437256.

It is a happy number.

652734482400 is a `hidden beast` number, since 6 + 527 + 3 + 4 + 4 + 82 + 40 + 0 = 666.

652734482400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1881079027 + ... + 1881079373.

It is an arithmetic number, because the mean of its divisors is an integer number (1151316936).

Almost surely, 2^652734482400 is an apocalyptic number.

652734482400 is a gapful number since it is divisible by the number (60) 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 652734482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657896387840).

652734482400 is an abundant number, since it is smaller than the sum of its proper divisors (2663058293280).

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

652734482400 is a wasteful number, since it uses less digits than its factorization.

652734482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 652734482400 in words is "six hundred fifty-two billion, seven hundred thirty-four million, four hundred eighty-two thousand, four hundred".