64087719696 has 840 divisors, whose sum is σ = 252360584000. Its totient is φ = 15334894080.

The previous prime is 64087719691. The next prime is 64087719697. The reversal of 64087719696 is 69691778046.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (64087719691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 128432055 + ... + 128432553.

Almost surely, 2^64087719696 is an apocalyptic number.

64087719696 is a gapful number since it is divisible by the number (66) 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 64087719696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126180292000).

64087719696 is an abundant number, since it is smaller than the sum of its proper divisors (188272864304).

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

64087719696 is a wasteful number, since it uses less digits than its factorization.

64087719696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 64087719696 in words is "sixty-four billion, eighty-seven million, seven hundred nineteen thousand, six hundred ninety-six".