61284867840 has 1152 divisors, whose sum is σ = 266864640000. Its totient is φ = 13006946304.

The previous prime is 61284867827. The next prime is 61284867877. The reversal of 61284867840 is 4876848216.

61284867840 is a `hidden beast` number, since 61 + 28 + 486 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 307964061 + ... + 307964259.

Almost surely, 2^61284867840 is an apocalyptic number.

61284867840 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 61284867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133432320000).

61284867840 is an abundant number, since it is smaller than the sum of its proper divisors (205579772160).

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

61284867840 is a wasteful number, since it uses less digits than its factorization.

61284867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 61284867840 in words is "sixty-one billion, two hundred eighty-four million, eight hundred sixty-seven thousand, eight hundred forty".