46780351303680 has 416 divisors, whose sum is σ = 168363203022720. Its totient is φ = 12474748403712.

The previous prime is 46780351303663. The next prime is 46780351303709. The reversal of 46780351303680 is 8630315308764.

46780351303680 is a `hidden beast` number, since 4 + 67 + 8 + 0 + 3 + 513 + 0 + 3 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44267539 + ... + 45311981.

Almost surely, 2^{46780351303680} is an apocalyptic number.

46780351303680 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 46780351303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84181601511360).

46780351303680 is an abundant number, since it is smaller than the sum of its proper divisors (121582851719040).

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

46780351303680 is an frugal number, since it uses more digits than its factorization.

46780351303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044493 (or 1044453 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 46780351303680 in words is "forty-six trillion, seven hundred eighty billion, three hundred fifty-one million, three hundred three thousand, six hundred eighty".