6121973760 has 480 divisors, whose sum is σ = 23123711520. Its totient is φ = 1382449152.

The previous prime is 6121973681. The next prime is 6121973761. The reversal of 6121973760 is 673791216.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6121973761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73758679 + ... + 73758761.

It is an arithmetic number, because the mean of its divisors is an integer number (48174399).

Almost surely, 2^6121973760 is an apocalyptic number.

6121973760 is a gapful number since it is divisible by the number (60) 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 6121973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11561855760).

6121973760 is an abundant number, since it is smaller than the sum of its proper divisors (17001737760).

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

6121973760 is an frugal number, since it uses more digits than its factorization.

6121973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 6121973760 is about 78243.0428856138. The cubic root of 6121973760 is about 1829.3514737430.

The spelling of 6121973760 in words is "six billion, one hundred twenty-one million, nine hundred seventy-three thousand, seven hundred sixty".