64010457600 has 120 divisors (see below), whose sum is σ = 211454672880. Its totient is φ = 17069445120.

The previous prime is 64010457547. The next prime is 64010457631. The reversal of 64010457600 is 675401046.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×64010457600² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795070 + ... + 871869.

It is an arithmetic number, because the mean of its divisors is an integer number (1762122274).

Almost surely, 2^64010457600 is an apocalyptic number.

64010457600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64010457600 is an abundant number, since it is smaller than the sum of its proper divisors (147444215280).

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

64010457600 is a wasteful number, since it uses less digits than its factorization.

64010457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666970 (or 1666949 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 64010457600 its reverse (675401046), we get a palindrome (64685858646).

The spelling of 64010457600 in words is "sixty-four billion, ten million, four hundred fifty-seven thousand, six hundred".