64880145792 has 1152 divisors, whose sum is σ = 253955520000. Its totient is φ = 15846082560.

The previous prime is 64880145763. The next prime is 64880145809. The reversal of 64880145792 is 29754108846.

It is a happy number.

64880145792 is a `hidden beast` number, since 64 + 8 + 8 + 0 + 1 + 4 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1099663459 + ... + 1099663517.

It is an arithmetic number, because the mean of its divisors is an integer number (220447500).

Almost surely, 2^64880145792 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 64880145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760000).

64880145792 is an abundant number, since it is smaller than the sum of its proper divisors (189075374208).

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

64880145792 is a wasteful number, since it uses less digits than its factorization.

64880145792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 64880145792 in words is "sixty-four billion, eight hundred eighty million, one hundred forty-five thousand, seven hundred ninety-two".