61323378480 has 640 divisors, whose sum is σ = 265316352000. Its totient is φ = 12936526848.

The previous prime is 61323378461. The next prime is 61323378497. The reversal of 61323378480 is 8487332316.

61323378480 is a `hidden beast` number, since 6 + 132 + 3 + 37 + 8 + 480 = 666.

61323378480 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 2×61323378480² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9628257 + ... + 9634623.

It is an arithmetic number, because the mean of its divisors is an integer number (414556800).

Almost surely, 2^61323378480 is an apocalyptic number.

61323378480 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 61323378480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132658176000).

61323378480 is an abundant number, since it is smaller than the sum of its proper divisors (203992973520).

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

61323378480 is a wasteful number, since it uses less digits than its factorization.

61323378480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6423 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 61323378480 in words is "sixty-one billion, three hundred twenty-three million, three hundred seventy-eight thousand, four hundred eighty".