49323784688640 has 1760 divisors, whose sum is σ = 223983171802368. Its totient is φ = 10080681984000.

The previous prime is 49323784688639. The next prime is 49323784688669. The reversal of 49323784688640 is 4688648732394.

It is a happy number.

49323784688640 is a `hidden beast` number, since 4 + 9 + 32 + 3 + 78 + 468 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a super-2 number, since 2×49323784688640² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1947927180 + ... + 1947952500.

Almost surely, 2^{49323784688640} is an apocalyptic number.

49323784688640 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 49323784688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111991585901184).

49323784688640 is an abundant number, since it is smaller than the sum of its proper divisors (174659387113728).

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

49323784688640 is a wasteful number, since it uses less digits than its factorization.

49323784688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25437 (or 25410 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 72.

The spelling of 49323784688640 in words is "forty-nine trillion, three hundred twenty-three billion, seven hundred eighty-four million, six hundred eighty-eight thousand, six hundred forty".