46930563957760 has 1408 divisors, whose sum is σ = 143715671193600. Its totient is φ = 14340367319040.

The previous prime is 46930563957757. The next prime is 46930563957773. The reversal of 46930563957760 is 6775936503964.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 46930563957760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174463062906 + ... + 174463063174.

It is an arithmetic number, because the mean of its divisors is an integer number (102070789200).

Almost surely, 2^{46930563957760} is an apocalyptic number.

46930563957760 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 46930563957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71857835596800).

46930563957760 is an abundant number, since it is smaller than the sum of its proper divisors (96785107235840).

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

46930563957760 is a wasteful number, since it uses less digits than its factorization.

46930563957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 771573600, while the sum is 70.

The spelling of 46930563957760 in words is "forty-six trillion, nine hundred thirty billion, five hundred sixty-three million, nine hundred fifty-seven thousand, seven hundred sixty".