61552771680 has 384 divisors, whose sum is σ = 205786054656. Its totient is φ = 15441868800.

The previous prime is 61552771673. The next prime is 61552771699. The reversal of 61552771680 is 8617725516.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 197918725 + ... + 197919035.

It is an arithmetic number, because the mean of its divisors is an integer number (535901184).

Almost surely, 2^61552771680 is an apocalyptic number.

61552771680 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 61552771680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102893027328).

61552771680 is an abundant number, since it is smaller than the sum of its proper divisors (144233282976).

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

61552771680 is a wasteful number, since it uses less digits than its factorization.

61552771680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 61552771680 in words is "sixty-one billion, five hundred fifty-two million, seven hundred seventy-one thousand, six hundred eighty".