49537664 has 64 divisors (see below), whose sum is σ = 108838080. Its totient is φ = 22272000.

The previous prime is 49537651. The next prime is 49537679. The reversal of 49537664 is 46673594.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×49537664³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212492 + ... + 212724.

It is an arithmetic number, because the mean of its divisors is an integer number (1700595).

Almost surely, 2^49537664 is an apocalyptic number.

49537664 is a gapful number since it is divisible by the number (44) 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 49537664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54419040).

49537664 is an abundant number, since it is smaller than the sum of its proper divisors (59300416).

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

49537664 is a wasteful number, since it uses less digits than its factorization.

49537664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its digits is 544320, while the sum is 44.

The square root of 49537664 is about 7038.2997946947. The cubic root of 49537664 is about 367.2641249437.

The spelling of 49537664 in words is "forty-nine million, five hundred thirty-seven thousand, six hundred sixty-four".