61496820000 has 2400 divisors, whose sum is σ = 308632705920. Its totient is φ = 11612160000.

The previous prime is 61496819987. The next prime is 61496820031. The reversal of 61496820000 is 2869416.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×61496820000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 2120579986 + ... + 2120580014.

Almost surely, 2^61496820000 is an apocalyptic number.

61496820000 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 61496820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154316352960).

61496820000 is an abundant number, since it is smaller than the sum of its proper divisors (247135885920).

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

61496820000 is a wasteful number, since it uses less digits than its factorization.

61496820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 61496820000 in words is "sixty-one billion, four hundred ninety-six million, eight hundred twenty thousand".