49724048640 has 144 divisors (see below), whose sum is σ = 181492875648. Its totient is φ = 11365490688.

The previous prime is 49724048597. The next prime is 49724048683. The reversal of 49724048640 is 4684042794.

It is an interprime number because it is at equal distance from previous prime (49724048597) and next prime (49724048683).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49724048640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 898047 + ... + 951806.

It is an arithmetic number, because the mean of its divisors is an integer number (1260367192).

Almost surely, 2^49724048640 is an apocalyptic number.

49724048640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49724048640 is an abundant number, since it is smaller than the sum of its proper divisors (131768827008).

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

49724048640 is a wasteful number, since it uses less digits than its factorization.

49724048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849884 (or 1849870 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 49724048640 in words is "forty-nine billion, seven hundred twenty-four million, forty-eight thousand, six hundred forty".