61750133640 has 192 divisors, whose sum is σ = 217033689600. Its totient is φ = 15136160256.

The previous prime is 61750133629. The next prime is 61750133663. The reversal of 61750133640 is 4633105716.

61750133640 is a `hidden beast` number, since 6 + 1 + 7 + 5 + 0 + 1 + 3 + 3 + 640 = 666.

It is a super-3 number, since 3×61750133640³ (a number of 33 digits) contains 333 as substring.

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 = 61750133595 and 61750133604.

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 47 ways as a sum of consecutive naturals, for example, 1090917 + ... + 1146123.

It is an arithmetic number, because the mean of its divisors is an integer number (1130383800).

Almost surely, 2^61750133640 is an apocalyptic number.

61750133640 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 61750133640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108516844800).

61750133640 is an abundant number, since it is smaller than the sum of its proper divisors (155283555960).

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

61750133640 is a wasteful number, since it uses less digits than its factorization.

61750133640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55476 (or 55469 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 61750133640 in words is "sixty-one billion, seven hundred fifty million, one hundred thirty-three thousand, six hundred forty".