64348384154400 has 1152 divisors, whose sum is σ = 248220492871680. Its totient is φ = 16054156800000.

The previous prime is 64348384154393. The next prime is 64348384154401. The reversal of 64348384154400 is 445148384346.

64348384154400 is a `hidden beast` number, since 6 + 4 + 3 + 4 + 8 + 3 + 84 + 154 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (64348384154401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4164666675 + ... + 4164682125.

It is an arithmetic number, because the mean of its divisors is an integer number (215469177840).

Almost surely, 2^{64348384154400} is an apocalyptic number.

64348384154400 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 64348384154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124110246435840).

64348384154400 is an abundant number, since it is smaller than the sum of its proper divisors (183872108717280).

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

64348384154400 is a wasteful number, since it uses less digits than its factorization.

64348384154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15687 (or 15668 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 64348384154400 in words is "sixty-four trillion, three hundred forty-eight billion, three hundred eighty-four million, one hundred fifty-four thousand, four hundred".