46434959676720 has 560 divisors, whose sum is σ = 162750766870560. Its totient is φ = 12315240124416.

The previous prime is 46434959676713. The next prime is 46434959676757. The reversal of 46434959676720 is 2767695943464.

46434959676720 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 4 + 9 + 596 + 7 + 6 + 7 + 20 = 666.

It is a super-2 number, since 2×46434959676720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21729039492 + ... + 21729041628.

Almost surely, 2^{46434959676720} is an apocalyptic number.

46434959676720 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 46434959676720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81375383435280).

46434959676720 is an abundant number, since it is smaller than the sum of its proper divisors (116315807193840).

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

46434959676720 is a wasteful number, since it uses less digits than its factorization.

46434959676720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 72.

The spelling of 46434959676720 in words is "forty-six trillion, four hundred thirty-four billion, nine hundred fifty-nine million, six hundred seventy-six thousand, seven hundred twenty".