61232761817640 has 1280 divisors, whose sum is σ = 242186630400000. Its totient is φ = 13869899495424.

The previous prime is 61232761817621. The next prime is 61232761817657. The reversal of 61232761817640 is 4671816723216.

61232761817640 is a `hidden beast` number, since 6 + 1 + 2 + 3 + 2 + 7 + 618 + 17 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×61232761817640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 85163785201 + ... + 85163785919.

It is an arithmetic number, because the mean of its divisors is an integer number (189208305000).

Almost surely, 2^{61232761817640} is an apocalyptic number.

61232761817640 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 61232761817640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121093315200000).

61232761817640 is an abundant number, since it is smaller than the sum of its proper divisors (180953868582360).

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

61232761817640 is a wasteful number, since it uses less digits than its factorization.

61232761817640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 61232761817640 in words is "sixty-one trillion, two hundred thirty-two billion, seven hundred sixty-one million, eight hundred seventeen thousand, six hundred forty".