64107146880 has 1152 divisors, whose sum is σ = 282108303360. Its totient is φ = 13315276800.

The previous prime is 64107146767. The next prime is 64107146921. The reversal of 64107146880 is 8864170146.

64107146880 is a `hidden beast` number, since 6 + 4 + 107 + 1 + 468 + 80 = 666.

64107146880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 148740265 + ... + 148740695.

It is an arithmetic number, because the mean of its divisors is an integer number (244885680).

Almost surely, 2^64107146880 is an apocalyptic number.

64107146880 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 64107146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141054151680).

64107146880 is an abundant number, since it is smaller than the sum of its proper divisors (218001156480).

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

64107146880 is a wasteful number, since it uses less digits than its factorization.

64107146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 64107146880 in words is "sixty-four billion, one hundred seven million, one hundred forty-six thousand, eight hundred eighty".