49467075840 has 1440 divisors, whose sum is σ = 224372332800. Its totient is φ = 10339467264.

The previous prime is 49467075839. The next prime is 49467075863. The reversal of 49467075840 is 4857076494.

49467075840 = T₂₀₀₅₆ + T₂₀₀₅₇ + ... + T₂₀₂₉₈.

49467075840 is a `hidden beast` number, since 494 + 6 + 7 + 0 + 75 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 462309067 + ... + 462309173.

It is an arithmetic number, because the mean of its divisors is an integer number (155814120).

Almost surely, 2^49467075840 is an apocalyptic number.

49467075840 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 49467075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112186166400).

49467075840 is an abundant number, since it is smaller than the sum of its proper divisors (174905256960).

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

49467075840 is a wasteful number, since it uses less digits than its factorization.

49467075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 49467075840 in words is "forty-nine billion, four hundred sixty-seven million, seventy-five thousand, eight hundred forty".