64546131600 has 180 divisors, whose sum is σ = 224488865796. Its totient is φ = 17174200320.

The previous prime is 64546131571. The next prime is 64546131619. The reversal of 64546131600 is 613164546.

It is a happy number.

64546131600 is a `hidden beast` number, since 6 + 4 + 5 + 46 + 1 + 3 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3669451776 + 60876679824 = 60576^2 + 246732^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1625584 + ... + 1664816.

Almost surely, 2^64546131600 is an apocalyptic number.

64546131600 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 64546131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112244432898).

64546131600 is an abundant number, since it is smaller than the sum of its proper divisors (159942734196).

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

64546131600 is a wasteful number, since it uses less digits than its factorization.

64546131600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39714 (or 39700 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 64546131600 in words is "sixty-four billion, five hundred forty-six million, one hundred thirty-one thousand, six hundred".