61494874890624 has 768 divisors, whose sum is σ = 214062582988800. Its totient is φ = 17210353305600.

The previous prime is 61494874890619. The next prime is 61494874890637. The reversal of 61494874890624 is 42609847849416.

61494874890624 is a `hidden beast` number, since 6 + 1 + 4 + 9 + 4 + 87 + 489 + 0 + 62 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2184450949 + ... + 2184479099.

It is an arithmetic number, because the mean of its divisors is an integer number (278727321600).

Almost surely, 2^{61494874890624} is an apocalyptic number.

61494874890624 is a gapful number since it is divisible by the number (64) 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 61494874890624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107031291494400).

61494874890624 is an abundant number, since it is smaller than the sum of its proper divisors (152567708098176).

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

61494874890624 is a wasteful number, since it uses less digits than its factorization.

61494874890624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28393 (or 28369 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 61494874890624 in words is "sixty-one trillion, four hundred ninety-four billion, eight hundred seventy-four million, eight hundred ninety thousand, six hundred twenty-four".