46564321322640 has 240 divisors, whose sum is σ = 165563521006464. Its totient is φ = 10797523630080.

The previous prime is 46564321322639. The next prime is 46564321322641. The reversal of 46564321322640 is 4622312346564.

It is an interprime number because it is at equal distance from previous prime (46564321322639) and next prime (46564321322641).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46564321322640.

It is not an unprimeable number, because it can be changed into a prime (46564321322641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34189789 + ... + 35525628.

Almost surely, 2^{46564321322640} is an apocalyptic number.

46564321322640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46564321322640 is an abundant number, since it is smaller than the sum of its proper divisors (118999199683824).

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

46564321322640 is a wasteful number, since it uses less digits than its factorization.

46564321322640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69715478 (or 69715461 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 46564321322640 in words is "forty-six trillion, five hundred sixty-four billion, three hundred twenty-one million, three hundred twenty-two thousand, six hundred forty".