49497972480 has 1728 divisors, whose sum is σ = 219847799808. Its totient is φ = 10510663680.

The previous prime is 49497972479. The next prime is 49497972499. The reversal of 49497972480 is 8427979494.

49497972480 is a `hidden beast` number, since 49 + 49 + 7 + 9 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1337783022 + ... + 1337783058.

It is an arithmetic number, because the mean of its divisors is an integer number (127226736).

Almost surely, 2^49497972480 is an apocalyptic number.

49497972480 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 49497972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109923899904).

49497972480 is an abundant number, since it is smaller than the sum of its proper divisors (170349827328).

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

49497972480 is a wasteful number, since it uses less digits than its factorization.

49497972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 49497972480 in words is "forty-nine billion, four hundred ninety-seven million, nine hundred seventy-two thousand, four hundred eighty".