61819764695040 has 336 divisors, whose sum is σ = 217428862122864. Its totient is φ = 14986606018560.

The previous prime is 61819764695021. The next prime is 61819764695099. The reversal of 61819764695040 is 4059646791816.

It is a super-2 number, since 2×61819764695040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12789594 + ... + 16947366.

It is an arithmetic number, because the mean of its divisors is an integer number (647109708699).

Almost surely, 2^{61819764695040} is an apocalyptic number.

61819764695040 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 61819764695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108714431061432).

61819764695040 is an abundant number, since it is smaller than the sum of its proper divisors (155609097427824).

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

61819764695040 is a wasteful number, since it uses less digits than its factorization.

61819764695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157829 (or 4157794 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 61819764695040 in words is "sixty-one trillion, eight hundred nineteen billion, seven hundred sixty-four million, six hundred ninety-five thousand, forty".