64956992100 has 648 divisors, whose sum is σ = 258368025888. Its totient is φ = 12454041600.

The previous prime is 64956992041. The next prime is 64956992101. The reversal of 64956992100 is 129965946.

It is a super-3 number, since 3×64956992100³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (64956992101) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 27326112 + ... + 27328488.

Almost surely, 2^64956992100 is an apocalyptic number.

64956992100 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 64956992100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129184012944).

64956992100 is an abundant number, since it is smaller than the sum of its proper divisors (193411033788).

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

64956992100 is a wasteful number, since it uses less digits than its factorization.

64956992100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 64956992100 in words is "sixty-four billion, nine hundred fifty-six million, nine hundred ninety-two thousand, one hundred".