61890454080 has 1120 divisors, whose sum is σ = 285427887360. Its totient is φ = 12361973760.

The previous prime is 61890454057. The next prime is 61890454123. The reversal of 61890454080 is 8045409816.

61890454080 is a `hidden beast` number, since 6 + 18 + 90 + 4 + 540 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44814990 + ... + 44816370.

It is an arithmetic number, because the mean of its divisors is an integer number (254846328).

Almost surely, 2^61890454080 is an apocalyptic number.

61890454080 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 61890454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142713943680).

61890454080 is an abundant number, since it is smaller than the sum of its proper divisors (223537433280).

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

61890454080 is a wasteful number, since it uses less digits than its factorization.

61890454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 61890454080 in words is "sixty-one billion, eight hundred ninety million, four hundred fifty-four thousand, eighty".