61620505344 has 216 divisors, whose sum is σ = 182330580432. Its totient is φ = 20003880960.

The previous prime is 61620505343. The next prime is 61620505369. The reversal of 61620505344 is 44350502616.

61620505344 is a `hidden beast` number, since 61 + 62 + 0 + 5 + 0 + 534 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61620505299 and 61620505308.

It is not an unprimeable number, because it can be changed into a prime (61620505343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45275224 + ... + 45276584.

Almost surely, 2^61620505344 is an apocalyptic number.

61620505344 is a gapful number since it is divisible by the number (64) 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 61620505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91165290216).

61620505344 is an abundant number, since it is smaller than the sum of its proper divisors (120710075088).

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

61620505344 is a wasteful number, since it uses less digits than its factorization.

61620505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 61620505344 in words is "sixty-one billion, six hundred twenty million, five hundred five thousand, three hundred forty-four".