46640764462400 has 84 divisors (see below), whose sum is σ = 114767084717340. Its totient is φ = 18656036966400.

The previous prime is 46640764462351. The next prime is 46640764462423. The reversal of 46640764462400 is 426446704664.

It can be written as a sum of positive squares in 6 ways, for example, as 5546100360256 + 41094664102144 = 2355016^2 + 6410512^2 .

It is a super-2 number, since 2×46640764462400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140187446 + ... + 140519754.

Almost surely, 2^{46640764462400} is an apocalyptic number.

46640764462400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46640764462400 is an abundant number, since it is smaller than the sum of its proper divisors (68126320254940).

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

46640764462400 is a wasteful number, since it uses less digits than its factorization.

46640764462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420052 (or 420037 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 53.

The spelling of 46640764462400 in words is "forty-six trillion, six hundred forty billion, seven hundred sixty-four million, four hundred sixty-two thousand, four hundred".