61760202240 has 640 divisors, whose sum is σ = 229453171200. Its totient is φ = 14014218240.

The previous prime is 61760202187. The next prime is 61760202271. The reversal of 61760202240 is 4220206716.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61760202198 and 61760202207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174957904 + ... + 174958256.

It is an arithmetic number, because the mean of its divisors is an integer number (358520580).

Almost surely, 2^61760202240 is an apocalyptic number.

61760202240 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 61760202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114726585600).

61760202240 is an abundant number, since it is smaller than the sum of its proper divisors (167692968960).

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

61760202240 is a wasteful number, since it uses less digits than its factorization.

61760202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 61760202240 its reverse (4220206716), we get a palindrome (65980408956).

The spelling of 61760202240 in words is "sixty-one billion, seven hundred sixty million, two hundred two thousand, two hundred forty".