61902829304064 has 360 divisors, whose sum is σ = 211023591713088. Its totient is φ = 17680523857920.

The previous prime is 61902829304059. The next prime is 61902829304111. The reversal of 61902829304064 is 46040392820916.

61902829304064 is a `hidden beast` number, since 6 + 190 + 28 + 29 + 3 + 0 + 406 + 4 = 666.

It is a super-3 number, since 3×61902829304064³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 61902829304064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 436981854 + ... + 437123490.

Almost surely, 2^{61902829304064} is an apocalyptic number.

61902829304064 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 61902829304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105511795856544).

61902829304064 is an abundant number, since it is smaller than the sum of its proper divisors (149120762409024).

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

61902829304064 is a wasteful number, since it uses less digits than its factorization.

61902829304064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144683 (or 144660 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 61902829304064 in words is "sixty-one trillion, nine hundred two billion, eight hundred twenty-nine million, three hundred four thousand, sixty-four".