61350649920 has 1008 divisors, whose sum is σ = 263439371520. Its totient is φ = 13020069888.

The previous prime is 61350649909. The next prime is 61350649933. The reversal of 61350649920 is 2994605316.

61350649920 is a `hidden beast` number, since 6 + 13 + 506 + 49 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 256697161 + ... + 256697399.

Almost surely, 2^61350649920 is an apocalyptic number.

61350649920 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 61350649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131719685760).

61350649920 is an abundant number, since it is smaller than the sum of its proper divisors (202088721600).

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

61350649920 is a wasteful number, since it uses less digits than its factorization.

61350649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 61350649920 in words is "sixty-one billion, three hundred fifty million, six hundred forty-nine thousand, nine hundred twenty".