61493178240 has 480 divisors, whose sum is σ = 237829105800. Its totient is φ = 15134625792.

The previous prime is 61493178223. The next prime is 61493178247. The reversal of 61493178240 is 4287139416.

61493178240 is a `hidden beast` number, since 614 + 9 + 3 + 1 + 7 + 8 + 24 + 0 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61493178247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8757451 + ... + 8764469.

Almost surely, 2^61493178240 is an apocalyptic number.

61493178240 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 61493178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118914552900).

61493178240 is an abundant number, since it is smaller than the sum of its proper divisors (176335927560).

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

61493178240 is a wasteful number, since it uses less digits than its factorization.

61493178240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076 (or 7042 counting only the distinct ones).

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

The spelling of 61493178240 in words is "sixty-one billion, four hundred ninety-three million, one hundred seventy-eight thousand, two hundred forty".