49370791680 has 1152 divisors, whose sum is σ = 220398796800. Its totient is φ = 10204102656.

The previous prime is 49370791667. The next prime is 49370791711. The reversal of 49370791680 is 8619707394.

It is a happy number.

49370791680 is a `hidden beast` number, since 49 + 370 + 79 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×49370791680² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105718807 + ... + 105719273.

It is an arithmetic number, because the mean of its divisors is an integer number (191318400).

Almost surely, 2^49370791680 is an apocalyptic number.

49370791680 is a gapful number since it is divisible by the number (40) 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 49370791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110199398400).

49370791680 is an abundant number, since it is smaller than the sum of its proper divisors (171028005120).

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

49370791680 is a wasteful number, since it uses less digits than its factorization.

49370791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 49370791680 in words is "forty-nine billion, three hundred seventy million, seven hundred ninety-one thousand, six hundred eighty".