64957475946 has 64 divisors (see below), whose sum is σ = 145703972736. Its totient is φ = 19132588800.

The previous prime is 64957475941. The next prime is 64957475951.

64957475946 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (64957475941) and next prime (64957475951).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (64957475941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2480256 + ... + 2506308.

It is an arithmetic number, because the mean of its divisors is an integer number (2276624574).

Almost surely, 2^64957475946 is an apocalyptic number.

64957475946 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64957475946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72851986368).

64957475946 is an abundant number, since it is smaller than the sum of its proper divisors (80746496790).

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

64957475946 is a wasteful number, since it uses less digits than its factorization.

64957475946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27127.

The product of its digits is 228614400, while the sum is 66.

The spelling of 64957475946 in words is "sixty-four billion, nine hundred fifty-seven million, four hundred seventy-five thousand, nine hundred forty-six".