61951841280 has 704 divisors, whose sum is σ = 255355553280. Its totient is φ = 13950517248.

The previous prime is 61951841233. The next prime is 61951841299. The reversal of 61951841280 is 8214815916.

It is a happy number.

61951841280 is a `hidden beast` number, since 6 + 1 + 9 + 518 + 4 + 128 + 0 = 666.

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

It is a congruent number.

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, 70640202 + ... + 70641078.

Almost surely, 2^61951841280 is an apocalyptic number.

61951841280 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 61951841280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127677776640).

61951841280 is an abundant number, since it is smaller than the sum of its proper divisors (193403712000).

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

61951841280 is a wasteful number, since it uses less digits than its factorization.

61951841280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 61951841280 in words is "sixty-one billion, nine hundred fifty-one million, eight hundred forty-one thousand, two hundred eighty".