64210540800 has 648 divisors, whose sum is σ = 248863884192. Its totient is φ = 14536704000.

The previous prime is 64210540781. The next prime is 64210540817. The reversal of 64210540800 is 804501246.

64210540800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 123244540 + ... + 123245060.

It is an arithmetic number, because the mean of its divisors is an integer number (384049204).

Almost surely, 2^64210540800 is an apocalyptic number.

64210540800 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 64210540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124431942096).

64210540800 is an abundant number, since it is smaller than the sum of its proper divisors (184653343392).

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

64210540800 is a wasteful number, since it uses less digits than its factorization.

64210540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 64210540800 in words is "sixty-four billion, two hundred ten million, five hundred forty thousand, eight hundred".