64151455680 has 672 divisors, whose sum is σ = 260994412224. Its totient is φ = 14858256384.

The previous prime is 64151455639. The next prime is 64151455703. The reversal of 64151455680 is 8655415146.

64151455680 is a `hidden beast` number, since 6 + 4 + 1 + 5 + 14 + 556 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 17183094 + ... + 17186826.

It is an arithmetic number, because the mean of its divisors is an integer number (388384542).

Almost surely, 2^64151455680 is an apocalyptic number.

64151455680 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 64151455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130497206112).

64151455680 is an abundant number, since it is smaller than the sum of its proper divisors (196842956544).

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

64151455680 is a wasteful number, since it uses less digits than its factorization.

64151455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 64151455680 in words is "sixty-four billion, one hundred fifty-one million, four hundred fifty-five thousand, six hundred eighty".