64527786400 has 432 divisors, whose sum is σ = 201019008960. Its totient is φ = 20000870400.

The previous prime is 64527786317. The next prime is 64527786437. The reversal of 64527786400 is 468772546.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113405316 + ... + 113405884.

It is an arithmetic number, because the mean of its divisors is an integer number (465321780).

Almost surely, 2^64527786400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64527786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100509504480).

64527786400 is an abundant number, since it is smaller than the sum of its proper divisors (136491222560).

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

64527786400 is a wasteful number, since it uses less digits than its factorization.

64527786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 64527786400 in words is "sixty-four billion, five hundred twenty-seven million, seven hundred eighty-six thousand, four hundred".