46986910064640 has 2240 divisors, whose sum is σ = 218256915824640. Its totient is φ = 9390800240640.

The previous prime is 46986910064617. The next prime is 46986910064651. The reversal of 46986910064640 is 4646001968964.

46986910064640 is a `hidden beast` number, since 4 + 6 + 9 + 8 + 69 + 100 + 6 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5736402945 + ... + 5736411135.

It is an arithmetic number, because the mean of its divisors is an integer number (97436123136).

Almost surely, 2^{46986910064640} is an apocalyptic number.

46986910064640 is a gapful number since it is divisible by the number (40) 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 46986910064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109128457912320).

46986910064640 is an abundant number, since it is smaller than the sum of its proper divisors (171270005760000).

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

46986910064640 is a wasteful number, since it uses less digits than its factorization.

46986910064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8273 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 46986910064640 in words is "forty-six trillion, nine hundred eighty-six billion, nine hundred ten million, sixty-four thousand, six hundred forty".