61437816621360 has 320 divisors, whose sum is σ = 223844923008000. Its totient is φ = 15456421804032.

The previous prime is 61437816621329. The next prime is 61437816621371. The reversal of 61437816621360 is 6312661873416.

61437816621360 is a `hidden beast` number, since 6 + 1 + 4 + 3 + 7 + 8 + 1 + 6 + 621 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×61437816621360² (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 junction number, because it is equal to n+sod(n) for n = 61437816621297 and 61437816621306.

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, 4843710 + ... + 12096989.

It is an arithmetic number, because the mean of its divisors is an integer number (699515384400).

Almost surely, 2^{61437816621360} is an apocalyptic number.

61437816621360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61437816621360 is an abundant number, since it is smaller than the sum of its proper divisors (162407106386640).

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

61437816621360 is a wasteful number, since it uses less digits than its factorization.

61437816621360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16940817 (or 16940805 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 61437816621360 in words is "sixty-one trillion, four hundred thirty-seven billion, eight hundred sixteen million, six hundred twenty-one thousand, three hundred sixty".