64857150264816 has 1920 divisors, whose sum is σ = 248499028377600. Its totient is φ = 15316485488640.

The previous prime is 64857150264799. The next prime is 64857150264821. The reversal of 64857150264816 is 61846205175846.

64857150264816 is a `hidden beast` number, since 6 + 4 + 8 + 5 + 71 + 502 + 6 + 48 + 16 = 666.

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 383 ways as a sum of consecutive naturals, for example, 61013311101 + ... + 61013312163.

It is an arithmetic number, because the mean of its divisors is an integer number (129426577280).

Almost surely, 2^{64857150264816} 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 64857150264816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124249514188800).

64857150264816 is an abundant number, since it is smaller than the sum of its proper divisors (183641878112784).

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

64857150264816 is a wasteful number, since it uses less digits than its factorization.

64857150264816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 64857150264816 in words is "sixty-four trillion, eight hundred fifty-seven billion, one hundred fifty million, two hundred sixty-four thousand, eight hundred sixteen".