64757223498240 has 6720 divisors, whose sum is σ = 318649220144640. Its totient is φ = 12460869550080.

The previous prime is 64757223498239. The next prime is 64757223498311. The reversal of 64757223498240 is 4289432275746.

64757223498240 is a `hidden beast` number, since 6 + 4 + 7 + 5 + 72 + 234 + 98 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1061593827810 + ... + 1061593827870.

It is an arithmetic number, because the mean of its divisors is an integer number (47418038712).

Almost surely, 2^{64757223498240} is an apocalyptic number.

64757223498240 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 64757223498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159324610072320).

64757223498240 is an abundant number, since it is smaller than the sum of its proper divisors (253891996646400).

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

64757223498240 is a wasteful number, since it uses less digits than its factorization.

64757223498240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 64757223498240 in words is "sixty-four trillion, seven hundred fifty-seven billion, two hundred twenty-three million, four hundred ninety-eight thousand, two hundred forty".