61533760458240 has 3360 divisors, whose sum is σ = 267254184637440. Its totient is φ = 13533888872448.

The previous prime is 61533760458217. The next prime is 61533760458259. The reversal of 61533760458240 is 4285406733516.

61533760458240 is a `hidden beast` number, since 6 + 1 + 5 + 3 + 3 + 7 + 604 + 5 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×61533760458240² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 442688924091 + ... + 442688924229.

It is an arithmetic number, because the mean of its divisors is an integer number (79539935904).

Almost surely, 2^{61533760458240} is an apocalyptic number.

61533760458240 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 61533760458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133627092318720).

61533760458240 is an abundant number, since it is smaller than the sum of its proper divisors (205720424179200).

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

61533760458240 is a wasteful number, since it uses less digits than its factorization.

61533760458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 61533760458240 in words is "sixty-one trillion, five hundred thirty-three billion, seven hundred sixty million, four hundred fifty-eight thousand, two hundred forty".