9877539672 has 384 divisors, whose sum is σ = 37085368320. Its totient is φ = 2291328000.

The previous prime is 9877539653. The next prime is 9877539701. The reversal of 9877539672 is 2769357789.

9877539672 is a `hidden beast` number, since 98 + 7 + 7 + 539 + 6 + 7 + 2 = 666.

It is a super-3 number, since 3×9877539672³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2232022 + ... + 2236442.

It is an arithmetic number, because the mean of its divisors is an integer number (96576480).

Almost surely, 2^9877539672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9877539672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18542684160).

9877539672 is an abundant number, since it is smaller than the sum of its proper divisors (27207828648).

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

9877539672 is a wasteful number, since it uses less digits than its factorization.

9877539672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495 (or 4488 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The square root of 9877539672 is about 99385.8122268969. The cubic root of 9877539672 is about 2145.6041188840.

The spelling of 9877539672 in words is "nine billion, eight hundred seventy-seven million, five hundred thirty-nine thousand, six hundred seventy-two".