61254961740 has 432 divisors, whose sum is σ = 226812156480. Its totient is φ = 13323985920.

The previous prime is 61254961709. The next prime is 61254961741. The reversal of 61254961740 is 4716945216.

61254961740 is a `hidden beast` number, since 6 + 1 + 2 + 549 + 61 + 7 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61254961741) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18158694 + ... + 18162066.

It is an arithmetic number, because the mean of its divisors is an integer number (525028140).

Almost surely, 2^61254961740 is an apocalyptic number.

61254961740 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 61254961740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113406078240).

61254961740 is an abundant number, since it is smaller than the sum of its proper divisors (165557194740).

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

61254961740 is a wasteful number, since it uses less digits than its factorization.

61254961740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 61254961740 in words is "sixty-one billion, two hundred fifty-four million, nine hundred sixty-one thousand, seven hundred forty".