46990684016640 has 3432 divisors, whose sum is σ = 215369456363208. Its totient is φ = 9751984865280.

The previous prime is 46990684016629. The next prime is 46990684016651. The reversal of 46990684016640 is 4661048609964.

46990684016640 is a `hidden beast` number, since 46 + 9 + 90 + 6 + 8 + 401 + 66 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (46990684016629) and next prime (46990684016651).

It can be written as a sum of positive squares in 4 ways, for example, as 1434015830016 + 45556668186624 = 1197504^2 + 6749568^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 770339082210 + ... + 770339082270.

Almost surely, 2^{46990684016640} is an apocalyptic number.

46990684016640 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 46990684016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107684728181604).

46990684016640 is an abundant number, since it is smaller than the sum of its proper divisors (168378772346568).

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

46990684016640 is an frugal number, since it uses more digits than its factorization.

46990684016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 46990684016640 in words is "forty-six trillion, nine hundred ninety billion, six hundred eighty-four million, sixteen thousand, six hundred forty".