64268282400 has 1296 divisors, whose sum is σ = 271217140992. Its totient is φ = 13160448000.

The previous prime is 64268282359. The next prime is 64268282447. The reversal of 64268282400 is 428286246.

It is a super-2 number, since 2×64268282400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1053578370 + ... + 1053578430.

Almost surely, 2^64268282400 is an apocalyptic number.

64268282400 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 64268282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135608570496).

64268282400 is an abundant number, since it is smaller than the sum of its proper divisors (206948858592).

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

64268282400 is a wasteful number, since it uses less digits than its factorization.

64268282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 64268282400 in words is "sixty-four billion, two hundred sixty-eight million, two hundred eighty-two thousand, four hundred".