61654763520 has 1440 divisors, whose sum is σ = 270457026840. Its totient is φ = 13377208320.

The previous prime is 61654763461. The next prime is 61654763531. The reversal of 61654763520 is 2536745616.

61654763520 is a `hidden beast` number, since 6 + 1 + 6 + 5 + 4 + 7 + 635 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46531666944 + 15123096576 = 215712^2 + 122976^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1503774700 + ... + 1503774740.

Almost surely, 2^61654763520 is an apocalyptic number.

61654763520 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 61654763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135228513420).

61654763520 is an abundant number, since it is smaller than the sum of its proper divisors (208802263320).

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

61654763520 is a wasteful number, since it uses less digits than its factorization.

61654763520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 61654763520 in words is "sixty-one billion, six hundred fifty-four million, seven hundred sixty-three thousand, five hundred twenty".