6149957970240 has 560 divisors, whose sum is σ = 25040464048512. Its totient is φ = 1403524952064.

The previous prime is 6149957970229. The next prime is 6149957970251. The reversal of 6149957970240 is 420797599416.

6149957970240 is a `hidden beast` number, since 6 + 1 + 499 + 5 + 79 + 70 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6149957970229) and next prime (6149957970251).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118454367 + ... + 118506273.

Almost surely, 2^{6149957970240} is an apocalyptic number.

6149957970240 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 6149957970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12520232024256).

6149957970240 is an abundant number, since it is smaller than the sum of its proper divisors (18890506078272).

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

6149957970240 is a wasteful number, since it uses less digits than its factorization.

6149957970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52596 (or 52577 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 6149957970240 in words is "six trillion, one hundred forty-nine billion, nine hundred fifty-seven million, nine hundred seventy thousand, two hundred forty".