64862468100 has 432 divisors, whose sum is σ = 220530885120. Its totient is φ = 15886540800.

The previous prime is 64862468059. The next prime is 64862468101. The reversal of 64862468100 is 186426846.

64862468100 is a `hidden beast` number, since 6 + 4 + 8 + 624 + 6 + 8 + 10 + 0 = 666.

It is a super-2 number, since 2×64862468100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (64862468101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124495840 + ... + 124496360.

It is an arithmetic number, because the mean of its divisors is an integer number (510488160).

Almost surely, 2^64862468100 is an apocalyptic number.

64862468100 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 64862468100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110265442560).

64862468100 is an abundant number, since it is smaller than the sum of its proper divisors (155668417020).

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

64862468100 is a wasteful number, since it uses less digits than its factorization.

64862468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 64862468100 in words is "sixty-four billion, eight hundred sixty-two million, four hundred sixty-eight thousand, one hundred".