61195614480 has 1920 divisors, whose sum is σ = 297900933120. Its totient is φ = 11222323200.

The previous prime is 61195614463. The next prime is 61195614509. The reversal of 61195614480 is 8441659116.

61195614480 is a `hidden beast` number, since 6 + 1 + 1 + 9 + 561 + 4 + 4 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 737296519 + ... + 737296601.

It is an arithmetic number, because the mean of its divisors is an integer number (155156736).

Almost surely, 2^61195614480 is an apocalyptic number.

61195614480 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 61195614480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148950466560).

61195614480 is an abundant number, since it is smaller than the sum of its proper divisors (236705318640).

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

61195614480 is a wasteful number, since it uses less digits than its factorization.

61195614480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 61195614480 in words is "sixty-one billion, one hundred ninety-five million, six hundred fourteen thousand, four hundred eighty".