61650419120640 has 4480 divisors, whose sum is σ = 276992191365120. Its totient is φ = 12856452710400.

The previous prime is 61650419120611. The next prime is 61650419120651. The reversal of 61650419120640 is 4602191405616.

61650419120640 is a `hidden beast` number, since 6 + 1 + 6 + 50 + 419 + 120 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×61650419120640² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 780385052121 + ... + 780385052199.

It is an arithmetic number, because the mean of its divisors is an integer number (61828614144).

Almost surely, 2^{61650419120640} is an apocalyptic number.

61650419120640 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 61650419120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138496095682560).

61650419120640 is an abundant number, since it is smaller than the sum of its proper divisors (215341772244480).

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

61650419120640 is an equidigital number, since it uses as much as digits as its factorization.

61650419120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 61650419120640 in words is "sixty-one trillion, six hundred fifty billion, four hundred nineteen million, one hundred twenty thousand, six hundred forty".