46754920396800 has 3456 divisors, whose sum is σ = 219093502118400. Its totient is φ = 9564703948800.

The previous prime is 46754920396783. The next prime is 46754920396801. The reversal of 46754920396800 is 869302945764.

46754920396800 is a `hidden beast` number, since 4 + 6 + 7 + 549 + 2 + 0 + 3 + 9 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×46754920396800² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46754920396801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 85475174127 + ... + 85475174673.

Almost surely, 2^{46754920396800} is an apocalyptic number.

46754920396800 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 46754920396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109546751059200).

46754920396800 is an abundant number, since it is smaller than the sum of its proper divisors (172338581721600).

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

46754920396800 is a wasteful number, since it uses less digits than its factorization.

46754920396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 46754920396800 in words is "forty-six trillion, seven hundred fifty-four billion, nine hundred twenty million, three hundred ninety-six thousand, eight hundred".