68132696400 has 300 divisors, whose sum is σ = 245391515292. Its totient is φ = 18104186880.

The previous prime is 68132696393. The next prime is 68132696413. The reversal of 68132696400 is 469623186.

68132696400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10146129984 + 57986566416 = 100728^2 + 240804^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 9489612 + ... + 9496788.

Almost surely, 2^68132696400 is an apocalyptic number.

68132696400 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 68132696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122695757646).

68132696400 is an abundant number, since it is smaller than the sum of its proper divisors (177258818892).

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

68132696400 is a wasteful number, since it uses less digits than its factorization.

68132696400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7500 (or 7480 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 68132696400 in words is "sixty-eight billion, one hundred thirty-two million, six hundred ninety-six thousand, four hundred".