11732461478640 has 2880 divisors, whose sum is σ = 52100080381440. Its totient is φ = 2437996216320.

The previous prime is 11732461478587. The next prime is 11732461478693. The reversal of 11732461478640 is 4687416423711.

11732461478640 is a `hidden beast` number, since 1 + 1 + 73 + 2 + 4 + 61 + 478 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11732461478587) and next prime (11732461478693).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 71978291199 + ... + 71978291361.

It is an arithmetic number, because the mean of its divisors is an integer number (18090305688).

Almost surely, 2^{11732461478640} is an apocalyptic number.

11732461478640 is a gapful number since it is divisible by the number (10) 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 11732461478640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26050040190720).

11732461478640 is an abundant number, since it is smaller than the sum of its proper divisors (40367618902800).

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

11732461478640 is a wasteful number, since it uses less digits than its factorization.

11732461478640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 11732461478640 in words is "eleven trillion, seven hundred thirty-two billion, four hundred sixty-one million, four hundred seventy-eight thousand, six hundred forty".