61272964080 has 160 divisors (see below), whose sum is σ = 211177108800. Its totient is φ = 16329719808.

The previous prime is 61272964073. The next prime is 61272964117. The reversal of 61272964080 is 8046927216.

It is a happy number.

61272964080 is a `hidden beast` number, since 612 + 7 + 29 + 6 + 4 + 0 + 8 + 0 = 666.

61272964080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61272964080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4072732 + ... + 4087748.

It is an arithmetic number, because the mean of its divisors is an integer number (1319856930).

Almost surely, 2^61272964080 is an apocalyptic number.

61272964080 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 61272964080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105588554400).

61272964080 is an abundant number, since it is smaller than the sum of its proper divisors (149904144720).

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

61272964080 is a wasteful number, since it uses less digits than its factorization.

61272964080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16928 (or 16916 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 61272964080 in words is "sixty-one billion, two hundred seventy-two million, nine hundred sixty-four thousand, eighty".