6354971040 has 192 divisors, whose sum is σ = 22987722240. Its totient is φ = 1459491840.

The previous prime is 6354970987. The next prime is 6354971069. The reversal of 6354971040 is 401794536.

It is a self number, because there is not a number n which added to its sum of digits gives 6354971040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68647 + ... + 131993.

It is an arithmetic number, because the mean of its divisors is an integer number (119727720).

Almost surely, 2^6354971040 is an apocalyptic number.

6354971040 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 6354971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11493861120).

6354971040 is an abundant number, since it is smaller than the sum of its proper divisors (16632751200).

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

6354971040 is a wasteful number, since it uses less digits than its factorization.

6354971040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63395 (or 63387 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 6354971040 is about 79718.0722295767. The cubic root of 6354971040 is about 1852.2709914493.

The spelling of 6354971040 in words is "six billion, three hundred fifty-four million, nine hundred seventy-one thousand, forty".