61520798976 has 576 divisors, whose sum is σ = 217622619648. Its totient is φ = 14967373824.

The previous prime is 61520798951. The next prime is 61520798987. The reversal of 61520798976 is 67989702516.

It is a super-3 number, since 3×61520798976³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62968600 + ... + 62969576.

It is an arithmetic number, because the mean of its divisors is an integer number (377817048).

Almost surely, 2^61520798976 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 61520798976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108811309824).

61520798976 is an abundant number, since it is smaller than the sum of its proper divisors (156101820672).

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

61520798976 is a wasteful number, since it uses less digits than its factorization.

61520798976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 61520798976 in words is "sixty-one billion, five hundred twenty million, seven hundred ninety-eight thousand, nine hundred seventy-six".